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Approaches to spherically symmetric solutions in f(T) gravity

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arxiv 2103.16970 v2 pith:S7LZXXVN submitted 2021-03-31 gr-qc hep-th

Alexey Golovnev , Maria-Jose Guzman This is my paper · ORCID
classification gr-qchep-th
keywords solutionsequationsfindfunctiongravitymathbbpropertiesspherically
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abstract

We study properties of static spherically symmetric solutions in $f(\mathbb T)$ gravity. Based on our previous work on generalising Bianchi identities for this kind of theories, we show how this search of solutions can be reduced to the study of two relatively simple equations. One of them does not depend on the function $f$ and therefore describes the properties of such solutions in any $f(\mathbb T)$ theory. Another equation is the radial one and, if a possible solution is chosen, it allows to find out which function $f$ is suitable for it. We use these equations to find exact and perturbative solutions for arbitrary and specific choices off.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $f(T)$ Gravity: Background Dependence and Propagating Degrees of Freedom

    gr-qc 2025-02 conditional novelty 6.0 of 10

    By perturbing f(T) gravity around FLRW and Bianchi I spacetimes, the authors find that only the two gravitational-wave polarizations propagate in the gravity sector.

  2. 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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