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

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arxiv 2405.09257 v2 pith:TS4YB5YI submitted 2024-05-15 gr-qc math-phmath.MP

classification gr-qcmath-phmath.MP
keywords solutionsteleparallelfluidperfectfindclassesequationsfield
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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.

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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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