Thermodynamics of Black Hole in (N+3)-dimensions from Euclidean N-brane Theory

Details Thermodynamics of Black Hole in (N+3)-dimensions from Euclidean N-brane Theory Thermodynamics of Black Hole in (N+3)-dimensions from Euclidean N-brane Theory

1995-03-02

arxiv.org/abs/hep-th/9503009v1

Mod.Phys.Lett. A10 (1995) 2775-2782

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1142/S021773239500291X

In this article we consider an N-brane description of an (N+3)-dimensional black hole horizon. First of all, we start by reviewing a previous work where a string theory is used as describing the dynamics of the event horizon of a four dimensional black hole. Then we consider a particle model defined on one dimensional Euclidean line in a three dimensional black hole as a target spacetime metric. By solving the field equations we find a ``world line instanton'' which connects the past event horizon with the future one. This solution gives us the exact value of the Hawking temperature and to leading order the Bekenstein-Hawking formula of black hole entropy. We also show that this formalism is extensible to an arbitrary spacetime dimension. Finally we make a comment of one-loop quantum correction to the black hole entropy .

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