Monopoles and the Emergence of Black Hole Entropy

TL;DR

This paper explores how magnetic monopoles can help explain the emergence of black hole entropy by analyzing the development of horizons and associated thermodynamic properties in gravitational solutions.

Contribution

It introduces a framework linking magnetic monopole solutions to the origin of black hole entropy, bridging classical solutions and thermodynamic descriptions.

Findings

Causally distinct regions emerge with horizon formation.

Defined an entropy linked to these regions.

Connected monopole entropy to Hawking-Bekenstein entropy in the black hole limit.

Abstract

One of the remarkable features of black holes is that they possess a thermodynamic description, even though they do not appear to be statistical systems. We use self-gravitating magnetic monopole solutions as tools for understanding the emergence of this description as one goes from an ordinary spacetime to one containing a black hole. We describe how causally distinct regions emerge as a monopole solution develops a horizon. We define an entropy that is naturally associated with these regions and that has a clear connection with the Hawking-Bekenstein entropy in the critical black hole limit.