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Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity

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arxiv 1501.02198 v2 pith:DRIPWRG6 submitted 2015-01-09 gr-qc astro-ph.COastro-ph.SR

classification gr-qcastro-ph.COastro-ph.SR
keywords solutionsalphaformgravitysphericallysymmetricweak-fieldclassical
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abstract

We study weak-field solutions having spherical symmetry in $f(T)$ gravity; to this end, we solve the field equations for a non diagonal tetrad, starting from Lagrangian in the form $f(T)=T+\alpha T^{n}$, where $\alpha$ is a small constant, parameterizing the departure of the theory from GR. We show that the classical spherically symmetric solutions of GR, i.e. the Schwarzschild and Schwarzschild-de Sitter solutions, are perturbed by terms in the form $\propto r^{2-2n}$ and discuss the impact of these perturbations in observational tests.

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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. Mass Varying Neutrino Oscillation in Teleparallel Gravity

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Torsion-coupled scalar in teleparallel gravity induces density-dependent neutrino masses that alter MSW resonance and yield constraints on coupling parameters from Super-Kamiokande, Borexino and SNO data.

  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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