Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity

TL;DR

This paper explores new black hole and wormhole solutions in f(T) gravity with anisotropic fluids, using non-diagonal tetrads and reconstructing the algebraic function f(T) under specific conditions.

Contribution

It introduces novel classes of solutions in f(T) gravity with anisotropic matter and develops a reconstruction scheme for the function f(T) based on pressure conditions.

Findings

Discovery of new black hole and wormhole solutions.

Identification of cold black hole class.

Reconstruction of f(T) function for specific pressure relations.

Abstract

We consider $f(T)$ gravity for a Weitzenbock spherically symmetric and static spacetime, where the metric is projected in the tangent space to the manifold for a set of non-diagonal tetrads. The matter content is coupled through the energy momentum tensor of an anisotropic fluid, generating various classes of new black hole and wormhole solutions. One of these classes is that of cold black holes. We also perform the reconstruction scheme of the algebraic function $f(T)$ for two cases where the radial pressure is proportional to $f(T)$ and its first derivative.