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Exact Spherically Symmetric Solutions in Modified Teleparallel gravity

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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.

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 33 · 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.