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arXiv · 1501.02198

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

Matteo Luca Ruggiero·Ninfa Radicella
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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 $f(T)=T+αT^{n}$, where $α$ 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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Matteo Luca Ruggiero, Ninfa Radicella. 2015-04-21. Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity. https://doi.org/10.1103/physrevd.91.104014

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