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

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arxiv 2406.18659 v2 pith:5HA2BGOD submitted 2024-06-26 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords solutionsteleparallelfindfluidgravityisotropickantowski-sachsnon-trivial
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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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  1. Traversable Wormhole Solutions in massive $F(T)$ gravity

    gr-qc 2025-08 unverdicted novelty 4.0 of 10

    In massive F(T) gravity, exact traversable wormhole solutions exist whose throats are supported by the graviton mass term, with matter that satisfies standard energy conditions in selected parameter ranges.

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