Stability of the Vacuum Non Singular Black Hole

TL;DR

This paper investigates the stability of non-singular black hole solutions in Møller's theory, analyzing their scalar torsion behavior and deriving stability conditions that include Schwarzschild and de Sitter solutions.

Contribution

It provides a stability analysis of non-singular black hole solutions in Møller's theory, highlighting differences in scalar torsion behavior despite similar metrics.

Findings

Stability condition for spherically symmetric non-singular black holes derived.

Schwarzschild and de Sitter solutions are shown to be stable under certain conditions.

Differences in torsion scalars despite identical metrics are identified.

Abstract

The singularity of the black hole solutions obtained before in M{\o}ller's theory are studied. It is found that although the two solutions reproduce the same associated metric the asymptotic behavior of the scalars of torsion tensor and basic vector are quite different. The stability of the associated metric of those solutions which is spherically symmetric non singular black hole is studied using the equations of geodesic deviation. The condition for the stability is obtained. From this condition the stability of the Schwarzschild solution and di Sitter solution can be obtained.