Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions

Abstract

Spherically symmetric solutions of theories of gravity built one fundamental class of solutions to describe compact objects like black holes and stars. Moreover, they serve as starting point for the search of more realistic axially symmetric solutions which are capable to describe rotating compact objects. Theories of gravity that do not possess spherically symmetric solutions which meet all observational constraints are easily falsified. In this article, we discuss classes of exact and perturbative spherically symmetric solutions in $f(T,B)$-gravity. The perturbative solutions add to the ones which have already been found in the literature, while the exact solutions are presented here for the first time. Moreover, we present general methods and strategies, like generalized Bianchi identities, to find spherically solutions in modified teleparallel theories of gravity.

Matches published version in JCAP. 29 pages, 1 figure

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• Teleparallel Gravity: From Theory to Cosmology
• Quasinormal modes of black holes in f(T) gravity
• Black hole solutions in the quadratic Weyl conformal geometric theory of gravity
• Black hole solutions in scalar-tensor symmetric teleparallel gravity
• Testing Born-Infeld $f(T)$ teleparallel gravity through Sgr A${}^{\star }$ observations
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Deflection angle, quasinormal modes and optical properties of a de Sitter black hole in $f(\mathcal{T},\mathcal{B})$ gravity
• $f(T,B)$ Gravity in the late Universe in the context of local measurements
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Confronting quantum-corrected teleparallel cosmology with observations
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