Thermodynamic Properties of Small Localized Black Holes
Author(s) -
Hideaki Kudoh
Publication year - 2003
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.110.1059
Subject(s) - physics , brane , schwarzschild radius , black brane , black hole (networking) , radius , extremal black hole , schwarzschild metric , horizon , classical mechanics , limit (mathematics) , theoretical physics , gravitation , general relativity , mathematical analysis , computer network , routing protocol , routing (electronic design automation) , computer security , astronomy , computer science , link state routing protocol , mathematics
In a previous paper, we developed a numerical method to obtain a static blackhole localized on a 3-brane in the Randall-Sundrum infinite braneworld, andpresented examples of numerical solutions that describe small localized blackholes. In this paper we quantitatively analyze the behavior of the numericallyobtained black hole solutions, focusing on thermodynamic quantities. Thethermodynamic relations show that the localized black hole deviates smoothlyfrom a five-dimensional Schwarzschild black hole, which is a solution in thelimit of a small horizon radius. We compare the thermodynamic behavior of thesesolutions with that of the exact solution on the 2-brane in the 4D braneworld.We find similarities between them.Comment: 6 pages, 6 figures, RevTex, references adde
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