Entropy in Black Hole Pair Production

TL;DR

This paper investigates the pair production of charged black holes in a magnetic field using instanton methods, revealing a connection between the instanton amplitude and black hole entropy.

Contribution

It demonstrates that the instanton amplitude for black hole pair production explicitly includes a factor related to the horizon area, supporting the idea that this factor measures black hole microstates.

Findings

The instanton amplitude contains a factor of e^{A/4}

This supports the hypothesis that e^{A/4} counts black hole states

The analysis confirms the role of horizon area in black hole pair creation

Abstract

Pair production of Reissner-Nordstrom black holes in a magnetic field can be described by a euclidean instanton. It is shown that the instanton amplitude contains an explicit factor of $e^{A/4}$, where $A$ is the area of the event horizon. This is consistent with the hypothesis that $e^{A/4}$ measures the number of black hole states.