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Exact Spherically Symmetric Solutions in Modified Teleparallel gravity

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arxiv 1911.03965 v2 pith:ECPYZY6G submitted 2019-11-10 gr-qc

classification gr-qc
keywords gravityexactmodifiednoethersolutionssphericallysymmetricteleparallel
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abstract

Finding spherically symmetric exact solutions in modified gravity is usually a difficult task. In this paper we use the Noether's symmetry approach for a modified Teleparallel theory of gravity labelled as $f(T,B)$ gravity where $T$ is the scalar torsion and $B$ the boundary term. Using the Noether's theorem, we were able to find exact spherically symmetric solutions for different forms of the function $f(T,B)$ coming from the Noether's symmetries.

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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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