Papers by Anshuman Baruah
arXiv (Cornell University), Apr 16, 2023
arXiv (Cornell University), Dec 25, 2022
Among the several modified/extended gravity paradigms, the concept of antisymmetric connections l... more Among the several modified/extended gravity paradigms, the concept of antisymmetric connections leading to space-time torsion can be traced back to Cartan. More recently, developments in string theory have suggested the existence of a rank-2 selfinteracting tensor field called the Kalb-Ramond field with similar outcomes, the field strength of which can support analytic wormhole-like solutions. In this study, we comprehensively probe the existence of traversable Morris-Thorne like wormhole solutions sourced by the Kalb-Ramond field strength in both General Relativity (GR) and f (R) and f (R, T) modified gravity. We evaluate wormhole shape functions and analyze the energy conditions near the throat, check the stability using the generalized Tolman-Oppenheimer-Volkov equations, and demonstrate the possibility of minimum exotic matter by numerically estimating the volume integral quantifier. Our results show the existence of stable wormhole solutions in GR and a simple f (R, T) gravity model, and unstable ones in a power-law type f (R) gravity model.
International Journal of Modern Physics D
Traversable wormhole solutions in General Relativity require exotic matter sources that violate t... more Traversable wormhole solutions in General Relativity require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. In this study, we analyze the energy conditions for static, spherically symmetric traversable Morris–Thorne wormholes in a recently proposed viable [Formula: see text] gravity model. We numerically analyze solutions considering both constant and variable redshift functions, and present wormhole spacetimes respecting the NEC, supported by a phantom energy-like equation of state for the source. Moreover, we analyze the stability of the spacetimes using the generalized Tolman–Oppenheimer–Volkov equation. We demonstrate the effects of certain parameters in the [Formula: see text] model in determining energy condition violations, and establish that stable wormholes can be formulated only at the expense of violating the NEC.
New Astronomy
Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the n... more Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. Moreover, the concept of non-commutative geometry as a gravitational source can be leveraged both in GR and modified gravity to realize non-trivial space–time configurations. In this study, we use f(R) gravity in conjunction with non-commutative geometry to analyze spherically symmetric traversable Morris-Thorne wormhole solutions from the aspect of energy condition violation, considering both constant and variable red-shift functions. First, we use well constrained metric and model parameters in a viable f(R) gravity model to demonstrate that wormholes respecting the NEC can be obtained with suitable choices of parameters. Additionally, we check the strong and dominant energy conditions to further validate our results. We then leverage non-commutative geometry in the framework of f(R) gravity to show that wormholes respecting the different energy conditions with a phantom-like source can be realized with suitable choices of model parameters. Our comprehensive analyses using well-constrained model parameters show that wormholes satisfying the NEC can be realized in the framework of non-commutative geometry with modified gravity.
New Astronomy, 2023
Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the n... more Traversable wormholes in General Relativity (GR) require exotic matter sources that violate the null energy condition (NEC), and such behavior may be avoided in modified gravity. Moreover, the concept of non-commutative geometry as a gravitational source can be leveraged both in GR and modified gravity to realize non-trivial space–time configurations. In this study, we use f(R) gravity in conjunction with non-commutative geometry to analyze spherically symmetric traversable Morris-Thorne wormhole solutions from the aspect of energy condition violation, considering both constant and variable red-shift functions. First, we use well constrained metric and model parameters in a viable f(R) gravity model to demonstrate that wormholes respecting the NEC can be obtained with suitable choices of parameters. Additionally, we check the strong and dominant energy conditions to further validate our results. We then leverage non-commutative geometry in the framework of f(R) gravity to show that wormholes respecting the different energy conditions with a phantom-like source can be realized with suitable choices of model parameters. Our comprehensive analyses using well-constrained model parameters show that wormholes satisfying the NEC can be realized in the framework of non-commutative geometry with modified gravity.
Traversable wormhole solutions in general relativity (GR) require exotic matter sources that viol... more Traversable wormhole solutions in general relativity (GR) require exotic matter sources that violate the null energy condition, and such exotic behavior may be avoided in f (R) modified gravity. Moreover, the concept of non-commutative geometry as a gravitational source can be leveraged both in GR and modified gravity to realize nontrivial space-time configurations. In this study, we investigate a viable f (R) gravity model and non-commutative geometry to analyze spherically symmetric traversable Morris-Thorne wormhole solutions. We analyze the different energy conditions, and demonstrate that wormholes satisfying the energy conditions can be realized in both frameworks.
Traversable wormhole solutions in general relativity (GR) require exotic matter sources that viol... more Traversable wormhole solutions in general relativity (GR) require exotic matter sources that violate the null energy condition. f(R) gravity has been studied extensively as a viable alternative to GR, and traversable wormhole solutions in f(R) gravity have been discussed extensively. In this study, we present a spherically symmetric traversable Morris-Thorne wormhole solution in a recently proposed f(R) gravity model with f(R) = R − α π Rc cot −1 ( R c R2 ) − β Rc [ 1 − exp ( − R Rc )] . We analyze the different energy conditions for our solution, and demonstrate that traversable wormholes can be realized in this theory.
Traversable wormhole solutions in general relativity (GR) require exotic matter sources that viol... more Traversable wormhole solutions in general relativity (GR) require exotic matter sources that violate the null energy condition. f(R) gravity has been studied extensively as a viable alternative to GR, and traversable wormhole solutions in f(R) gravity have been discussed extensively. In this study, we analyze the energy conditions for spherically symmetric traversable Morris-Thorne wormholes in a recently proposed viable f(R) gravity model. We analyze wormhole space-times considering both constant and variable redshift functions, and demonstrate that traversable wormholes can be realized in this theory with minimal or no violations of the null energy condition with suitable choices of model and metric parameters.
Journal of Physics: Conference Series
Wormhole solutions in classical general relativity are unstable and hence non traversable. Morris... more Wormhole solutions in classical general relativity are unstable and hence non traversable. Morris and Thorne discovered a traversable wormhole solution that required the energy momentum tensor of matter sources to violate various energy conditions and are out of the purview of the standard model of particle physics. The search for traversable wormhole solutions in modified theories of gravity has been of significant interest in the decades after Morris and Thorne first published their results as such violations may be avoided in such theories. This work comprehensively reviews traversable wormhole solutions in higher dimensional extensions of general relativity that satisfy the various energy conditions with an in depth look at the matter sources and the various constraints on the parameters of the theories to make the energy momentum of the matter sources respect the energy conditions.
articles by Anshuman Baruah
Traversable Lorentzian wormholes in higher dimensional theories of gravity
Wormhole solutions in classical general relativity are unstable and hence non traversable. Morris... more Wormhole solutions in classical general relativity are unstable and hence non traversable. Morris and Thorne discovered a traversable wormhole solution that required the energy momentum tensor of matter sources to violate various energy conditions and are out of the purview of the standard model of particle physics. The search for traversable wormhole solutions in modified theories of gravity has been of significant interest in the decades after Morris and Thorne first published their results as such violations may be avoided in such theories. This work comprehensively reviews traversable wormhole solutions in higher dimensional extensions of general relativity that satisfy the various energy conditions with an in depth look at the matter sources and the various constraints on the parameters of the theories to make the energy momentum of the matter sources respect the energy conditions.
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Papers by Anshuman Baruah
articles by Anshuman Baruah