Black hole entropy from a single long string

TL;DR

This paper derives the Bekenstein-Hawking black hole entropy formula using a single open string in Rindler spacetime, suggesting a fundamental link between string theory and black hole thermodynamics.

Contribution

It demonstrates that black hole entropy can be obtained from a single string with a rescaled tension, extending the idea to various spacetime dimensions.

Findings

Exact Hawking temperature from string solution

Reproduction of Bekenstein-Hawking entropy to leading order

Extension to black holes in arbitrary dimensions

Abstract

In this article we derive the Bekenstein-Hawking formula of black hole entropy from a single string. We consider a open string in the Rindler metric which can be obtained in the large mass limit from the Schwarzschild black hole metric. By solving the field equations we find a nontrivial solution with the exact value of the Hawking temperature. We see that this solution gives us the Bekenstein-Hawking formula of black hole entropy to leading order of approximation. This string has effectively a rescaled string tension having a relation with a redshift factor. It is also pointed out that this formalism is extensible to other black holes in an arbitrary spacetime dimension. The present work might lead us to a surprising idea that the recent picture which the black hole entropy arises from D-brane excitations has the root of the picture that the black hole entropy is stocked in a single long string with a rescaled string tension.