A Comment on Black Hole Entropy in String Theory

TL;DR

This paper extends string theory calculations of black hole entropy beyond the infinite mass limit and demonstrates the equivalence of two different methods for computing black hole entropy, confirming their consistency.

Contribution

It shows the agreement between string theoretic entropy calculations and classical Noether charge methods away from the infinite mass limit, and establishes the equivalence of two entropy computation techniques.

Findings

String theory entropy matches classical calculations away from infinite mass limit.

Noether charge method and conical singularity method are equivalent for black hole entropy.

Results confirm consistency of different entropy calculation approaches.

Abstract

In this note, we extend the string theoretic calculation of the black hole entropy, first performed by Susskind and Uglum, away from the infinite mass limit. It is shown that the result agrees with that obtained from the classical action of string theory, using the Noether charge method developed by Wald. Also shown in the process is the equivalence of two general techniques for finding black hole entropies-the Noether charge method, and the method of conical singularities.