We consider a class of metric f (R) modified gravity theories, analyze them in the context of a F... more We consider a class of metric f (R) modified gravity theories, analyze them in the context of a Friedmann-Robertson-Walker cosmology and confront the results with some of the known constraints imposed by observations. In particular, we focus in correctly reproducing the matter and effective cosmological constant eras, the age of the Universe, and supernovae data. Our analysis differs in many respects from previous studies. First, we avoid any transformation to a scalar-tensor theory in order to be exempted of any potential pathologies (e.g. multivalued scalar potentials) and also to evade any unnecessary discussion regarding frames (i.e. Einstein .vs. Jordan). Second, based on a robust approach, we recast the cosmology equations as an initial value problem subject to a modified Hamiltonian constraint. Third, we solve the equations numerically where the Ricci scalar itself is one of the variables, and use the constraint equation to monitor the accuracy of the solutions. We compute the "equation of state" (EOS) associated with the modifications of gravity using several inequivalent definitions that have been proposed in the past and analyze it in detail. We argue that one of these definitions has the best features. In particular, we present the EOS around the so called "phantom divide" boundary and compare it with previous findings.
Frailty is a prevalent condition among Canadians; over one million are diagnosed as medically fra... more Frailty is a prevalent condition among Canadians; over one million are diagnosed as medically frail, and in the next ten years this number will double. Information and telecommunication technologies can provide a low-cost method for managing frailty more proactively. This study aims to examine the range and extent of information and telecommunication technologies for managing frailty in older adults, their technology readiness level, the evidence, and the associated outcomes. A systematic literature review was conducted. Four databases were searched for studies: Medline, EMBASE, CINAHL, and Web of Science. In total, we included 19 studies (out of 9,930) for the data abstraction. Overall, our findings indicate that (1) the proposed frailty phenotype is the most common ground truth to be used for assessing frailty; (2) the most common uses of information and telecommunication technologies for managing frailty are detection, and monitoring and detection, while interventional studies on frailty are very rare; (3) the five main types of information and telecommunication technologies for managing frailty in older adults are information and telecommunication technology-based platforms, smartphones, telemonitoring (home monitoring), wearable sensors and devices (commercial off-the-shelf), and multimedia formats for online access; (4) the technology readiness level of information and telecommunication technologies for managing frailty in older adults is the "Technology Demonstration" level, i.e., not yet ready to be operated in an actual operating environment; and (5) the level of evidence is still low for information and telecommunication technology studies that manage frailty in older adults. In conclusion, information and telecommunication technologies for managing frailty in the older adult population are not yet ready to be full-fledged technologies for this purpose.
Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arises in the cont... more Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arises in the context of extra fields or modifications to General Relativity. A prevalent approach is to parameterize the expansion history through the equation of state, ω(z). We present a parametric form for ω(z) that can reproduce the generic behavior of the most widely used physical models for accelerated expansion with infrared corrections. The present proposal has at most 3 free parameters which can be mapped back to specific archetypal models for dark energy. We analyze in detail how different combinations of data can constrain the specific cases embedded in our form for ω(z). We implement our parametric equation for ω(z) to observations from CMB, the luminous distance of SNeIa, cosmic chronometers, and baryon acoustic oscillations identified in galaxies and in the Lymann-α forest. We find that the parameters can be well constrained by using different observational data sets. Our findings point to an oscillatory behavior consistent with an f (R)-like model or an unknown combination of scalar fields. When we let the three parameters vary freely, we find an EoS which oscillates around the phantom-dividing line, and, with over 99% of confidence, the cosmological constant solution is disfavored.
We present an up to cubic curvature correction to General Relativity with the following features:... more We present an up to cubic curvature correction to General Relativity with the following features: (i) its vacuum spectrum solely consists of a graviton and is ghost-free, (ii) it possesses well-behaved black hole solutions which coincide with those of Einsteinian cubic gravity, (iii) its cosmology is well-posed as an initial value problem and, most importantly, (iv) it has the potential to provide a late-time cosmology arbitrarily close to ΛCDM while, at the same time, giving an inflationary period in the early universe with a graceful exit.
We present a cosmological model arising from a gravitational theory with an infinite tower of hig... more We present a cosmological model arising from a gravitational theory with an infinite tower of higher-order curvature invariants that can reproduce the entire evolution of the Universe: from inflation to late-time acceleration, without invoking an inflaton nor a cosmological constant. The theory is Einsteinian-like. The field equations for a Friedmann-Lemaître-Robertson-Walker metric are of second-order and can reproduce a late-time evolution that is consistent with the acceleration provided by the cosmological constant at low redshift. Our results force us to reinterpret the nature of dark energy, becoming a mechanism that is inherited solely from the geometry of spacetime.
We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence... more We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible effective action involving an infinite tower of higher-curvature corrections to the Einstein-Hilbert action. No additional fields besides the metric are required. This correction to General Relativity has the following features: (i) its vacuum spectrum solely consists of a graviton and is ghost free, (ii) it possesses well-behaved black hole solutions, (iii) its cosmology is well-posed as an initial value problem and, most importantly, (iv) it has the potential to provide a late-time cosmology arbitrarily close to LCDM while, at the same time, giving an inflationary period in the early universe with a graceful exit
We present a new parameterization for the equation of state (EoS) ωX = PX /ρX , which can reprodu... more We present a new parameterization for the equation of state (EoS) ωX = PX /ρX , which can reproduce a f (R)-like evolution with a precision between [0.5% − 0.8%] over the numerical solutions. Also, our proposal can render a variety of popular f (R) models that are considered as viable candidates for the cosmic late time acceleration. By using observational data from baryonic acoustic oscillations, supernovae and cosmic chronometers we investigate the constraints on the new EoS parameters. This proposal set a EoS formulation which can be used in an efficient way and makes a good candidate to be implemented in a variety of surveys in order to test the f (R) generic behaviour.
We show under which circumstances the gravitational waves produced by a metric theory f (R) trave... more We show under which circumstances the gravitational waves produced by a metric theory f (R) travel at the velocity of light.
Monthly Notices of the Royal Astronomical Society, 2012
Using the results of Pichardo et al. (2005,2008), we determine regions of dynamical stability whe... more Using the results of Pichardo et al. (2005,2008), we determine regions of dynamical stability where planets (or discs in general) could survive in stable orbits around binary stellar systems. We produce this study for 161 binary stars in the Solar neighborhood with known orbital parameters. Additionally, we constructed numerically the discs (invariant loops) around five binary systems with known orbital parameters and with confirmed planets: HIP 10138, HIP 4954, HIP 67275, HIP 116727 and Kepler 16, as a test to the approximation of Pichardo et al. (2005,2008). In each single case, the reported position of the planets lay within our calculated stability regions. This study intends to provide a guide in the search for planets around binary systems with well know orbital parameters, since our method defines precise limits for the stable regions, where discs may have established and planets formed.
We discuss with a rather critical eye the current situation of black hole (BH) solutions in f (R)... more We discuss with a rather critical eye the current situation of black hole (BH) solutions in f (R) gravity and shed light about its geometrical and physical significance. We also argue about the meaning, existence or lack thereof of a Birkhoff's theorem in this kind of modified gravity. We focus then on the analysis and quest of non-trivial (i.e. hairy) asymptotically flat (AF) BH solutions in static and spherically symmetric (SSS) spacetimes in vacuum having the property that the Ricci scalar does not vanish identically in the domain of outer communication. To do so, we provide and enforce the regularity conditions at the horizon in order to prevent the presence of singular solutions there. Specifically, we consider several classes of f (R) models like those proposed recently for explaining the accelerated expansion in the universe and which have been thoroughly tested in several physical scenarios. Finally, we report analytical and numerical evidence about the absence of geometric hair in AFSSSBH solutions in those f (R) models. First, we submit the models to the available no-hair theorems, and in the cases where the theorems apply, the absence of hair is demonstrated analytically. In the cases where the theorems do not apply, we resort to a numerical analysis due to the complexity of the non-linear differential equations. Within that aim, a code to solve the equations numerically was built and tested using well know exact solutions. In a future investigation we plan to analyze the problem of hair in De Sitter and Anti-De Sitter backgrounds.
We propose a novel explanation for universe’s inflationary period. We argue that when the Einstei... more We propose a novel explanation for universe’s inflationary period. We argue that when the Einstein–Hilbert action is supplemented by an infinite tower of higher-curvature terms — selected order by order by the criterium that they give rise to a well-posed cosmological evolution — the usual Big Bang characteristic of Einstein gravity is replaced by a singularity-free period of exponential growth of the scale factor, which is gracefully connected with standard late-time [Formula: see text]CDM cosmology. No inflaton or any additional fields besides the metric are required.
We derive a class of non–static inhomogeneous dust solutions in f(R) gravity described by the Lem... more We derive a class of non–static inhomogeneous dust solutions in f(R) gravity described by the Lemâıtre–Tolman–Bondi (LTB) metric. The field equations are fully integrated for all parameter subcases and compared with analogous subcases of LTB dust solutions of GR. Since the solutions do not admit regular symmetry centres, we have two possibilities: (i) a spherical dust cloud with angle deficit acting as the source of a vacuum Schwarzschild–like solution associated with a global monopole, or (ii) fully regular dust wormholes without angle deficit, whose rest frames are homeomorphic to the Schwarzschild–Kruskal manifold or to a 3d torus. The compatibility between the LTB metric and generic f(R) ansatzes furnishes an “inverse procedure” to generate LTB solutions whose sources are found from the f(R) geometry. While the resulting fluids may have an elusive physical interpretation, they can be used as exact non–perturbative toy models in theoretical and cosmological applications of f(R) t...
We present a new parameterization for the equation of state (EoS) ωX = PX/ρX , which can reproduc... more We present a new parameterization for the equation of state (EoS) ωX = PX/ρX , which can reproduce a f(R)-like evolution with a precision between [0.5% − 0.8%] over the numerical solutions. Also, our proposal can render a variety of popular f(R) models that are considered as viable candidates for the cosmic late time acceleration. By using observational data from baryonic acoustic oscillations, supernovae and cosmic chronometers we investigate the constraints on the new EoS parameters. This proposal set a EoS formulation which can be used in an efficient way and makes a good candidate to be implemented in a variety of surveys in order to test the f(R) generic behaviour.
Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arise in the conte... more Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arise in the context of extra fields or modifications to General Relativity. A prevalent approach is to parameterise the expansion history through the equation of state, ω(z). We present a parametric form for ω(z) that can reproduce the generic behaviour of the most widely used physical models for accelerated expansion with infrared corrections. The present proposal has at most 3 free parameters which can be mapped back to specific archetypal models for dark energy. We analyze in detail how different combinations of data can constrain the specific cases embedded in our form for ω(z). We implement our parametric equation for ω(z) to observations from CMB, luminous distance of SNeIa, cosmic chronometers, and baryon acoustic oscillations identified in galaxies and in the Lymann-α forest. We find that the parameters can be well constrained by using different observational data sets. Our findings point to an o...
We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of f(R) m... more We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of f(R) metric gravity using an exponential model. We show that f(R) gravity may lead to a vanishing effective cosmological constant in the far future (i.e. R → 0) and yet produce a transient accelerated expansion at present time with a potentially viable cosmological history. This is in contrast with several f(R) models which, while viable, produce in general a non-vanishing effective cosmological constant asymptotically in time (R → 4Λeff). We also show that relativistic stars in asymptotically flat spacetimes can be supported within this framework without encountering any singularity, notably in the Ricci scalar R.
A general formulation to compute habitable zones for binary stars is presented. We extend the sim... more A general formulation to compute habitable zones for binary stars is presented. We extend the simple formulation of the known concept: circumstellar habitable zone for single stars, to the case of eccentric stellar binary systems, where two sources of luminosity at different orbital phases contribute to the irradiance of their planetary circumstellar and circumbinary regions. Our approach considers binaries with eccentric orbits and guarantees that orbits in the computed habitable zone remain within it at all orbital phases. We apply this formulation to calculate habitable zones for binary stars of the solar neighborhood with known orbital parameters. Regions of stable, non-intersecting orbits, supported by invariant loops have been determined using the results of Pichardo, et al. 2005 and 2008, together with their habitable zones, are calculated for 51 cases, including some with discovered planets. Formulae and interpolating tables are provided, so the reader can compute the bounda...
We consider a class of metric f (R) modified gravity theories, analyze them in the context of a F... more We consider a class of metric f (R) modified gravity theories, analyze them in the context of a Friedmann-Robertson-Walker cosmology and confront the results with some of the known constraints imposed by observations. In particular, we focus in correctly reproducing the matter and effective cosmological constant eras, the age of the Universe, and supernovae data. Our analysis differs in many respects from previous studies. First, we avoid any transformation to a scalar-tensor theory in order to be exempted of any potential pathologies (e.g. multivalued scalar potentials) and also to evade any unnecessary discussion regarding frames (i.e. Einstein .vs. Jordan). Second, based on a robust approach, we recast the cosmology equations as an initial value problem subject to a modified Hamiltonian constraint. Third, we solve the equations numerically where the Ricci scalar itself is one of the variables, and use the constraint equation to monitor the accuracy of the solutions. We compute the "equation of state" (EOS) associated with the modifications of gravity using several inequivalent definitions that have been proposed in the past and analyze it in detail. We argue that one of these definitions has the best features. In particular, we present the EOS around the so called "phantom divide" boundary and compare it with previous findings.
Frailty is a prevalent condition among Canadians; over one million are diagnosed as medically fra... more Frailty is a prevalent condition among Canadians; over one million are diagnosed as medically frail, and in the next ten years this number will double. Information and telecommunication technologies can provide a low-cost method for managing frailty more proactively. This study aims to examine the range and extent of information and telecommunication technologies for managing frailty in older adults, their technology readiness level, the evidence, and the associated outcomes. A systematic literature review was conducted. Four databases were searched for studies: Medline, EMBASE, CINAHL, and Web of Science. In total, we included 19 studies (out of 9,930) for the data abstraction. Overall, our findings indicate that (1) the proposed frailty phenotype is the most common ground truth to be used for assessing frailty; (2) the most common uses of information and telecommunication technologies for managing frailty are detection, and monitoring and detection, while interventional studies on frailty are very rare; (3) the five main types of information and telecommunication technologies for managing frailty in older adults are information and telecommunication technology-based platforms, smartphones, telemonitoring (home monitoring), wearable sensors and devices (commercial off-the-shelf), and multimedia formats for online access; (4) the technology readiness level of information and telecommunication technologies for managing frailty in older adults is the "Technology Demonstration" level, i.e., not yet ready to be operated in an actual operating environment; and (5) the level of evidence is still low for information and telecommunication technology studies that manage frailty in older adults. In conclusion, information and telecommunication technologies for managing frailty in the older adult population are not yet ready to be full-fledged technologies for this purpose.
Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arises in the cont... more Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arises in the context of extra fields or modifications to General Relativity. A prevalent approach is to parameterize the expansion history through the equation of state, ω(z). We present a parametric form for ω(z) that can reproduce the generic behavior of the most widely used physical models for accelerated expansion with infrared corrections. The present proposal has at most 3 free parameters which can be mapped back to specific archetypal models for dark energy. We analyze in detail how different combinations of data can constrain the specific cases embedded in our form for ω(z). We implement our parametric equation for ω(z) to observations from CMB, the luminous distance of SNeIa, cosmic chronometers, and baryon acoustic oscillations identified in galaxies and in the Lymann-α forest. We find that the parameters can be well constrained by using different observational data sets. Our findings point to an oscillatory behavior consistent with an f (R)-like model or an unknown combination of scalar fields. When we let the three parameters vary freely, we find an EoS which oscillates around the phantom-dividing line, and, with over 99% of confidence, the cosmological constant solution is disfavored.
We present an up to cubic curvature correction to General Relativity with the following features:... more We present an up to cubic curvature correction to General Relativity with the following features: (i) its vacuum spectrum solely consists of a graviton and is ghost-free, (ii) it possesses well-behaved black hole solutions which coincide with those of Einsteinian cubic gravity, (iii) its cosmology is well-posed as an initial value problem and, most importantly, (iv) it has the potential to provide a late-time cosmology arbitrarily close to ΛCDM while, at the same time, giving an inflationary period in the early universe with a graceful exit.
We present a cosmological model arising from a gravitational theory with an infinite tower of hig... more We present a cosmological model arising from a gravitational theory with an infinite tower of higher-order curvature invariants that can reproduce the entire evolution of the Universe: from inflation to late-time acceleration, without invoking an inflaton nor a cosmological constant. The theory is Einsteinian-like. The field equations for a Friedmann-Lemaître-Robertson-Walker metric are of second-order and can reproduce a late-time evolution that is consistent with the acceleration provided by the cosmological constant at low redshift. Our results force us to reinterpret the nature of dark energy, becoming a mechanism that is inherited solely from the geometry of spacetime.
We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence... more We argue that the presence of an inflationary epoch is a natural, almost unavoidable, consequence of the existence of a sensible effective action involving an infinite tower of higher-curvature corrections to the Einstein-Hilbert action. No additional fields besides the metric are required. This correction to General Relativity has the following features: (i) its vacuum spectrum solely consists of a graviton and is ghost free, (ii) it possesses well-behaved black hole solutions, (iii) its cosmology is well-posed as an initial value problem and, most importantly, (iv) it has the potential to provide a late-time cosmology arbitrarily close to LCDM while, at the same time, giving an inflationary period in the early universe with a graceful exit
We present a new parameterization for the equation of state (EoS) ωX = PX /ρX , which can reprodu... more We present a new parameterization for the equation of state (EoS) ωX = PX /ρX , which can reproduce a f (R)-like evolution with a precision between [0.5% − 0.8%] over the numerical solutions. Also, our proposal can render a variety of popular f (R) models that are considered as viable candidates for the cosmic late time acceleration. By using observational data from baryonic acoustic oscillations, supernovae and cosmic chronometers we investigate the constraints on the new EoS parameters. This proposal set a EoS formulation which can be used in an efficient way and makes a good candidate to be implemented in a variety of surveys in order to test the f (R) generic behaviour.
We show under which circumstances the gravitational waves produced by a metric theory f (R) trave... more We show under which circumstances the gravitational waves produced by a metric theory f (R) travel at the velocity of light.
Monthly Notices of the Royal Astronomical Society, 2012
Using the results of Pichardo et al. (2005,2008), we determine regions of dynamical stability whe... more Using the results of Pichardo et al. (2005,2008), we determine regions of dynamical stability where planets (or discs in general) could survive in stable orbits around binary stellar systems. We produce this study for 161 binary stars in the Solar neighborhood with known orbital parameters. Additionally, we constructed numerically the discs (invariant loops) around five binary systems with known orbital parameters and with confirmed planets: HIP 10138, HIP 4954, HIP 67275, HIP 116727 and Kepler 16, as a test to the approximation of Pichardo et al. (2005,2008). In each single case, the reported position of the planets lay within our calculated stability regions. This study intends to provide a guide in the search for planets around binary systems with well know orbital parameters, since our method defines precise limits for the stable regions, where discs may have established and planets formed.
We discuss with a rather critical eye the current situation of black hole (BH) solutions in f (R)... more We discuss with a rather critical eye the current situation of black hole (BH) solutions in f (R) gravity and shed light about its geometrical and physical significance. We also argue about the meaning, existence or lack thereof of a Birkhoff's theorem in this kind of modified gravity. We focus then on the analysis and quest of non-trivial (i.e. hairy) asymptotically flat (AF) BH solutions in static and spherically symmetric (SSS) spacetimes in vacuum having the property that the Ricci scalar does not vanish identically in the domain of outer communication. To do so, we provide and enforce the regularity conditions at the horizon in order to prevent the presence of singular solutions there. Specifically, we consider several classes of f (R) models like those proposed recently for explaining the accelerated expansion in the universe and which have been thoroughly tested in several physical scenarios. Finally, we report analytical and numerical evidence about the absence of geometric hair in AFSSSBH solutions in those f (R) models. First, we submit the models to the available no-hair theorems, and in the cases where the theorems apply, the absence of hair is demonstrated analytically. In the cases where the theorems do not apply, we resort to a numerical analysis due to the complexity of the non-linear differential equations. Within that aim, a code to solve the equations numerically was built and tested using well know exact solutions. In a future investigation we plan to analyze the problem of hair in De Sitter and Anti-De Sitter backgrounds.
We propose a novel explanation for universe’s inflationary period. We argue that when the Einstei... more We propose a novel explanation for universe’s inflationary period. We argue that when the Einstein–Hilbert action is supplemented by an infinite tower of higher-curvature terms — selected order by order by the criterium that they give rise to a well-posed cosmological evolution — the usual Big Bang characteristic of Einstein gravity is replaced by a singularity-free period of exponential growth of the scale factor, which is gracefully connected with standard late-time [Formula: see text]CDM cosmology. No inflaton or any additional fields besides the metric are required.
We derive a class of non–static inhomogeneous dust solutions in f(R) gravity described by the Lem... more We derive a class of non–static inhomogeneous dust solutions in f(R) gravity described by the Lemâıtre–Tolman–Bondi (LTB) metric. The field equations are fully integrated for all parameter subcases and compared with analogous subcases of LTB dust solutions of GR. Since the solutions do not admit regular symmetry centres, we have two possibilities: (i) a spherical dust cloud with angle deficit acting as the source of a vacuum Schwarzschild–like solution associated with a global monopole, or (ii) fully regular dust wormholes without angle deficit, whose rest frames are homeomorphic to the Schwarzschild–Kruskal manifold or to a 3d torus. The compatibility between the LTB metric and generic f(R) ansatzes furnishes an “inverse procedure” to generate LTB solutions whose sources are found from the f(R) geometry. While the resulting fluids may have an elusive physical interpretation, they can be used as exact non–perturbative toy models in theoretical and cosmological applications of f(R) t...
We present a new parameterization for the equation of state (EoS) ωX = PX/ρX , which can reproduc... more We present a new parameterization for the equation of state (EoS) ωX = PX/ρX , which can reproduce a f(R)-like evolution with a precision between [0.5% − 0.8%] over the numerical solutions. Also, our proposal can render a variety of popular f(R) models that are considered as viable candidates for the cosmic late time acceleration. By using observational data from baryonic acoustic oscillations, supernovae and cosmic chronometers we investigate the constraints on the new EoS parameters. This proposal set a EoS formulation which can be used in an efficient way and makes a good candidate to be implemented in a variety of surveys in order to test the f(R) generic behaviour.
Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arise in the conte... more Perhaps the most explored hypothesis for the accelerated cosmic expansion rate arise in the context of extra fields or modifications to General Relativity. A prevalent approach is to parameterise the expansion history through the equation of state, ω(z). We present a parametric form for ω(z) that can reproduce the generic behaviour of the most widely used physical models for accelerated expansion with infrared corrections. The present proposal has at most 3 free parameters which can be mapped back to specific archetypal models for dark energy. We analyze in detail how different combinations of data can constrain the specific cases embedded in our form for ω(z). We implement our parametric equation for ω(z) to observations from CMB, luminous distance of SNeIa, cosmic chronometers, and baryon acoustic oscillations identified in galaxies and in the Lymann-α forest. We find that the parameters can be well constrained by using different observational data sets. Our findings point to an o...
We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of f(R) m... more We analyze the evolution of a Friedmann-Robertson-Walker spacetime within the framework of f(R) metric gravity using an exponential model. We show that f(R) gravity may lead to a vanishing effective cosmological constant in the far future (i.e. R → 0) and yet produce a transient accelerated expansion at present time with a potentially viable cosmological history. This is in contrast with several f(R) models which, while viable, produce in general a non-vanishing effective cosmological constant asymptotically in time (R → 4Λeff). We also show that relativistic stars in asymptotically flat spacetimes can be supported within this framework without encountering any singularity, notably in the Ricci scalar R.
A general formulation to compute habitable zones for binary stars is presented. We extend the sim... more A general formulation to compute habitable zones for binary stars is presented. We extend the simple formulation of the known concept: circumstellar habitable zone for single stars, to the case of eccentric stellar binary systems, where two sources of luminosity at different orbital phases contribute to the irradiance of their planetary circumstellar and circumbinary regions. Our approach considers binaries with eccentric orbits and guarantees that orbits in the computed habitable zone remain within it at all orbital phases. We apply this formulation to calculate habitable zones for binary stars of the solar neighborhood with known orbital parameters. Regions of stable, non-intersecting orbits, supported by invariant loops have been determined using the results of Pichardo, et al. 2005 and 2008, together with their habitable zones, are calculated for 51 cases, including some with discovered planets. Formulae and interpolating tables are provided, so the reader can compute the bounda...
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Papers by Luisa Jaime