Torsion Strings inside Static Black Holes in Teleparallel Gravity

TL;DR

This paper investigates the behavior of torsion flux and singularities inside Schwarzschild black holes within teleparallel gravity, revealing that torsion is finite at the horizon but singular at the center, with torsion strings confined inside.

Contribution

It introduces the concept of torsion strings inside black holes in teleparallel gravity and analyzes their properties, including flux, singularities, and spin polarization.

Findings

Torsion flux vanishes along the cosmic string.

The event horizon is not a true torsion singularity.

A true torsion singularity exists at the black hole's center.

Abstract

Cosmic strings inside Schwarzschild black holes in teleparallel gravity are considered.Torsion flux inside the black hole is compute like a torsion vortex on a superfluid.Since some components of torsion are singular on Schwarzschild horizon and others remain finite we compute a torsion invariant to decide whether the torsion is singular and where torsion singularities located.It is found out that as in the curvature case of Einstein's black hole the event horizon is not a mere coordinate singularity for torsion although a true torsion singularity is found at the center of the teleparallel black hole.Torsion flux vanishes along the cosmic string itself.It is shown from Cartan equation in differential forms that the spins inside the black hole are polarized along the torsion string.Torsion string seems to be confined inside the black hole.