Black Holes in the Gauge Theoretic Formulation of Dilatonic Gravity

TL;DR

This paper demonstrates how a gauge theoretic approach to dilatonic gravity with non-Abelian charges can produce black hole solutions through a novel coupling involving Lagrange multipliers.

Contribution

It introduces a new coupling in the gauge formulation of dilatonic gravity that acts as a source term, enabling black hole solutions.

Findings

The system admits black hole solutions.

A new coupling involving the Lagrange multiplier field is identified.

The approach extends topological BF theories to include non-Abelian charges.

Abstract

We show that two-dimensional topological BF theories coupled to particles carrying non-Abelian charge admit a new coupling involving the Lagrange multiplier field. When applied to the gauge theoretic formulation of dilatonic gravity it gives rise to a source term for the gravitational field. We show that the system admits black hole solutions.