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A class of static spherically symmetric solutions in $f(T)$-gravity

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arxiv 2309.04536 v2 pith:OKOCVVZP submitted 2023-09-08 gr-qc

classification gr-qc
keywords classsolutionsgravitysphericallystaticsymmetricanomalousansatz
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abstract

We study a class of static spherically symmetric vacuum solutions in modified teleparallel gravity solving the field equations for a specific model Ansatz, requiring the torsion scalar $T$ to be constant. We discuss the models falling in this class. After some general considerations, we provide and investigate local solutions in the form of black holes and traversable wormholes as well as configurations that can match the anomalous rotation curves of galaxies.

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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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