Topological Field Theories and Space-Time Singularity

TL;DR

This paper proposes that space-time singularities in general relativity can be modeled using topological field theories, which describe singular configurations with reduced holonomy, offering a new perspective on black hole solutions.

Contribution

It introduces a novel approach linking topological field theories to space-time singularities, expanding the theoretical framework for understanding black holes.

Findings

Space-time singularities can be described by TFTs.

TFTs characterize singular configurations via reduced holonomy.

The approach provides a new perspective on black hole solutions.

Abstract

Based on a study of recently proposed solution of 2 dim. black hole we argue that the space-time singularities of general relativity may be described by topological field theories (TFTs). We also argue that in general TFT is a field theory which decsribes singular configurations with a reduced holonomy in its field space.