Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity

Fuente: arXiv
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Autore principale: Landry, Alexandre
Natura: Preprint
Pubblicazione: 2024
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author Landry, Alexandre
author_facet Landry, Alexandre
contents In this paper, we investigate static spherically symmetric teleparallel F(T) gravity containing a perfect isotropic fluid. We first write the field equations and proceed to find new teleparallel F(T) solutions for perfect isotropic and linear fluids. By using a power-law ansatz for the coframe components, we find several classes of new non-trivial teleparallel F(T) solutions. We also find a new class of teleparallel F(T) solutions for a matter dust fluid. After we solve the field equations for a non-linear perfect fluid. Once again, there are several new exact teleparallel F(T) solutions and also some approximated teleparallel F(T) solutions. All these classes of new solutions may be relevant for future cosmological and astrophysical applications.
format Preprint
id arxiv_https___arxiv_org_abs_2405_09257
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity
Landry, Alexandre
General Relativity and Quantum Cosmology
Mathematical Physics
In this paper, we investigate static spherically symmetric teleparallel F(T) gravity containing a perfect isotropic fluid. We first write the field equations and proceed to find new teleparallel F(T) solutions for perfect isotropic and linear fluids. By using a power-law ansatz for the coframe components, we find several classes of new non-trivial teleparallel F(T) solutions. We also find a new class of teleparallel F(T) solutions for a matter dust fluid. After we solve the field equations for a non-linear perfect fluid. Once again, there are several new exact teleparallel F(T) solutions and also some approximated teleparallel F(T) solutions. All these classes of new solutions may be relevant for future cosmological and astrophysical applications.
title Static spherically symmetric perfect fluid solutions in teleparallel F(T) gravity
topic General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2405.09257