General Spherically Symmetric Non Singular Black Hole Solutions in Teleparallel Theory of Gravitation

TL;DR

This paper derives the most general spherically symmetric, non-singular black hole solutions within a specific teleparallel gravity framework, which match Schwarzschild at large distances and resemble de Sitter space near the core.

Contribution

It presents the first comprehensive class of non-singular black hole solutions in teleparallel gravity, extending previous models and calculating their associated energy.

Findings

Solutions match Schwarzschild at large r

Solutions resemble de Sitter space at small r

Black hole solutions are singularity-free everywhere

Abstract

We find the most general spherically symmetric non singular black hole solution in a special class of teleparallel theory of gravitation. If $r$ is large enough, the general solution coincides with the Schwarzschild solution. Whereas, if $r$ is small, the general solution behaves in a manner similar to that of de Sitter solution. Otherwise it describes a spherically symmetric black hole singularity free everywhere. Moreover, the energy associated with the general solution is calculated using the superpotential given by M{\o}ller 1978.