Black hole entropy from a single long string

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.