Papers by Gustavo Arciniega
Physics of the Dark Universe
arXiv: General Relativity and Quantum Cosmology, Oct 18, 2018
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 topological quantization of free massive bosonic fields as the first example of a cl... more We present a topological quantization of free massive bosonic fields as the first example of a classical field theory with a quantum counterpart to be studied under this formalism. First, we identify certain harmonic map as a geometric representation of this physical system. We take as a concrete example the case of free massive bosonic fields in two dimensions represented by the minimal embedding of a two dimensional surface into a pp-wave spacetime. We use this geometric representation to construct the fiber bundle corresponding to some specific field configurations and then find their topological spectra, defined in terms of the Euler invariant. We discuss the results for some particular configurations and their consequences for the energy of the system.
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 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 entails a geometric mechanism triggering an inflationary period in the early universe (driven by radiation) with a graceful exit to a late-time cosmology arbitrarily close to ΛCDM.
Physics Letters B, 2022
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 apply the method of topological quantization to obtain the bosonic string topological spectrum... more We apply the method of topological quantization to obtain the bosonic string topological spectrum propagating on a flat background. We define the classical configuration of the system, and construct the corresponding principal fiber bundle (pfb) that uniquely represents it. The topological spectrum is defined through the characteristic class of the pfb. We find explicit expressions for the topological spectrum for particular configurations of the bosonic strings on a Minkowski background and show that they lead to a discretization of the total energy of the system.
Abstract: We apply the method of topological quantization to obtain the bosonic string topologica... more Abstract: We apply the method of topological quantization to obtain the bosonic string topological spectrum propagating on a flat background. We define the classical configuration of the system, and construct the corresponding principal fiber bundle (pfb) that uniquely represents it. The topological spectrum is defined through the characteristic class of the pfb. We find explicit expressions for the topological spectrum for particular configurations of the bosonic strings on a Minkowski background and show that they lead to a discretization of the total energy of the system.
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. We show that a family of such corrections giving rise to a well-posed cosmological evolution exists and automatically replaces the radiation-dominated early-universe Big Bang by a singularity-free period of exponential growth of the scale factor, which is gracefully connected with standard late-time ΛCDM cosmology. The class of higher-curvature theories giving rise to sensible cosmological evolution share additional remarkable properties such as the existence of Schwarzschild-like non-hairy black holes, or the fact that, just like for Einstein gravity, the only degrees of freedom propagated on the vacuum are those of the standard graviton.
arXiv: Mathematical Physics, 2011
We apply the method of topological quantization to obtain the bosonic string topological spectrum... more We apply the method of topological quantization to obtain the bosonic string topological spectrum propagating on a flat background. We define the classical configuration of the system, and construct the corresponding principal fiber bundle (pfb) that uniquely represents it. The topological spectrum is defined through the characteristic class of the pfb. We find explicit expressions for the topological spectrum for particular configurations of the bosonic strings on a Minkowski background and show that they lead to a discretization of the total energy of the system.
arXiv: Mathematical Physics, 2014
Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric des... more Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic equilibrium states of this kind of black holes is related with information about thermodynamic interaction, critical points and phase transitions structure. Our results indicate that the equilibrium manifold of this black hole is curved and that curvature singularities appear exactly at those places where first and second order phase transitions occur.
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...
Astronomische Nachrichten
International Journal of Modern Physics D
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 apply the method of topological quantization to obtain the bosonic string topological spectrum... more We apply the method of topological quantization to obtain the bosonic string topological spectrum propagating on a flat background. We define the classical configuration of the system, and construct the corresponding principal fiber bundle (pfb) that uniquely represents it. The topological spectrum is defined through the characteristic class of the pfb. We find explicit expressions for the topological spectrum for particular configurations of the bosonic strings on a Minkowski background and show that they lead to a discretization of the total energy of the system.
Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric des... more Considering a nonlinear charged black hole as a thermodynamics system, we study the geometric description of its phase transitions. Using the formalism of geometrothermodynamics we show that the geometry of the space of thermodynamic equilibrium states of this kind of black holes is related with information about thermodynamic interaction, critical points and phase transitions structure. Our results indicate that the equilibrium manifold of this black hole is curved and that curvature singularities appear exactly at those places where first and second order phase transitions occur.
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Papers by Gustavo Arciniega