Thermodynamics of Horizons from a Dual Quantum System

It was shown recently that, in the case of Schwarschild black hole, one can obtainthe correct thermodynamic relations by studying a model quantum system and using a partic-ular duality transformation. We study this approach further for the case a general sphericallysymmetric horizon. We show that th...

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Bibliographic Details
Main Authors: T. Padmanabhan, Sudipta Sarkar
Format: Article
Language:English
Published: MDPI AG 2007-08-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/9/3/100/
Description
Summary:It was shown recently that, in the case of Schwarschild black hole, one can obtainthe correct thermodynamic relations by studying a model quantum system and using a partic-ular duality transformation. We study this approach further for the case a general sphericallysymmetric horizon. We show that the idea works for a general case only if we define the en-tropy S as a congruence (“observerâ€Â) dependent quantity and the energy E as the integral overthe source of the gravitational acceleration for the congruence. In fact, in this case, one recov-ers the relation S = E/2T between entropy, energy and temperature previously proposed byone of us in gr-qc/0308070. This approach also enables us to calculate the quantum correc-tions of the Bekenstein-Hawking entropy formula for all spherically symmetric horizons.
ISSN:1099-4300