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arXiv · 2406.18659

Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity

Alexandre Landry
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Abstract

In this paper, we investigate time-dependent Kantowski-Sachs spherically symmetric teleparallel $F(T)$ gravity in vacuum and in a perfect isotropic fluid. We begin by finding the field equations and solve for new teleparallel $F(T)$ solutions. With a power-law ansatz for the coframe functions, we find new non-trivial teleparallel $F(T)$ vacuum solutions. We then proceed to find new non-trivial teleparallel $F(T)$ solutions in a perfect isotropic fluid with both linear and non-linear equation of state. We find a great number of new exact and approximated teleparallel $F(T)$ solutions. These classes of new solutions are relevant for future cosmological applications.

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Alexandre Landry. 2024-06-26. Kantowski-Sachs spherically symmetric solutions in teleparallel $F(T)$ gravity. https://doi.org/10.3390/sym16080953

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