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

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abstract

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.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Traversable Wormhole Solutions in massive $F(T)$ gravity

gr-qc · 2025-08-08 · unverdicted · novelty 4.0

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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  • Traversable Wormhole Solutions in massive $F(T)$ gravity gr-qc · 2025-08-08 · unverdicted · none · ref 50 · internal anchor

    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.