D0-brane description of the charged black hole

TL;DR

This paper explores the description of charged black holes using D0-branes within Matrix theory, highlighting the extremal limit via a D0-brane gas and employing the Virial theorem for statistical analysis.

Contribution

It introduces a novel D0-brane perspective on charged black holes and demonstrates how the extremal limit can be modeled by a Boltzmann gas of D0-branes.

Findings

Charged black holes can be described using D0-branes in Matrix theory.

The extremal limit corresponds to a Boltzmann gas of D0-branes.

The Virial theorem is crucial in analyzing the statistical properties.

Abstract

The charged black hole is considered from the viewpoint of D0-brane in the Matrix theory. It can be obtained from the Kaluza-Klein mechanism by boosting the Schwarzschild black hole in a circle, which is the compactified one dimensional space. Especially, how the extremal limit is realized by the Boltzmann gas of D0-brane, has been shown. In the course of our discussion, the Virial theorem for the statistical average plays an important role.