New Static Solutions in f(T) Theory

TL;DR

This paper derives new static solutions, including black holes and wormholes, within the f(T) gravity framework, expanding the understanding of anisotropic space-times with constant torsion and specific pressure conditions.

Contribution

It introduces novel spherically symmetric solutions in f(T) gravity, considering constant torsion and particular pressure relations, which were not previously explored.

Findings

New black hole solutions with constant torsion.

Wormhole solutions under specific pressure conditions.

Extensions of f(T) solutions for anisotropic space-times.

Abstract

We consider the equations of motion of an anisotropic space-time in $f(T)$ theory, where $T$ is the torsion. New spherically symmetric solutions of black holes and wormholes are obtained with a constant torsion and the cases for which the radial pressure is proportional to a real constant, to some algebraic functions $f(T)$ and their derivatives $f_T(T)$, or vanish identically.