A special exact spherically symmetric solution in f(T) gravity theories

Abstract

A non-diagonal spherically symmetric tetrad field, involving four unknown functions of radial coordinate $r$, is applied to the equations of motion of f(T) gravity theory. A special exact vacuum solution with one constant of integration is obtained. The scalar torsion related to this special solution vanishes. To understand the physical meaning of the constant of integration we calculate the energy associated with this solution and show how it is related to the gravitational mass of the system.

14 pages

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• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Schwarzschild solution in extended teleparallel gravity
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Geodesic Deviation Equation in $f(T)$ gravity
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Accelerating Cosmological Models in $f(T,B)$ Gravitational Theory
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Foliation-generating observers under Lorentz transformations