Thermodynamic Properties of Small Localized Black Holes

Details Thermodynamic Properties of Small Localized Black Holes Thermodynamic Properties of Small Localized Black Holes

2003-06-09

arxiv.org/abs/hep-th/0306067v3

Prog.Theor.Phys. 110 (2004) 1059-1069

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 6 figures, RevTex, references added

Scientific paper

10.1143/PTP.110.1059

In a previous paper, we developed a numerical method to obtain a static black hole localized on a 3-brane in the Randall-Sundrum infinite braneworld, and presented examples of numerical solutions that describe small localized black holes. In this paper we quantitatively analyze the behavior of the numerically obtained black hole solutions, focusing on thermodynamic quantities. The thermodynamic relations show that the localized black hole deviates smoothly from a five-dimensional Schwarzschild black hole, which is a solution in the limit of a small horizon radius. We compare the thermodynamic behavior of these solutions with that of the exact solution on the 2-brane in the 4D braneworld. We find similarities between them.

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