Singularities and n-dimensional black holes in torsion theories

TL;DR

This paper investigates singularities in gravitational theories with non-symmetric connections, introducing a new criteria based on black/white hole regions of arbitrary codimension across various torsion theories.

Contribution

It proposes a novel criteria for singularities in torsion-based gravity theories and applies it to multiple models including Teleparallel Gravity, Einstein-Cartan, and dynamical torsion models.

Findings

New criteria for singularities in torsion theories

Application to multiple torsion models

Insights into black/white hole regions in higher dimensions

Abstract

In this work we have studied the singular behaviour of gravitational theories with non symmetric connections. For this purpose we introduce a new criteria for the appearance of singularities based on the existence of black/white hole regions of arbitrary codimension defined inside a spacetime of arbitrary dimension. We discuss this prescription by increasing the complexity of the particular torsion theory under study. In this sense, we start with Teleparallel Gravity, then we analyse Einstein-Cartan theory, and finally dynamical torsion models.