Entropy 2007, 9(3), 100-107; doi:10.3390/e9030100

Thermodynamics of Horizons from a Dual Quantum System

IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007, India
* Author to whom correspondence should be addressed.
Received: 10 July 2007; Accepted: 13 August 2007 / Published: 20 August 2007
PDF Full-text Download PDF Full-Text [162 KB, uploaded 16 September 2008 11:01 CEST]
Abstract: 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 (“observer”) 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.
Keywords: Thermodynamics; Dual Quantum System

Article Statistics

Load and display the download statistics.

Citations to this Article

Cite This Article

MDPI and ACS Style

Sarkar, S.; Padmanabhan, T. Thermodynamics of Horizons from a Dual Quantum System. Entropy 2007, 9, 100-107.

AMA Style

Sarkar S, Padmanabhan T. Thermodynamics of Horizons from a Dual Quantum System. Entropy. 2007; 9(3):100-107.

Chicago/Turabian Style

Sarkar, Sudipta; Padmanabhan, T. 2007. "Thermodynamics of Horizons from a Dual Quantum System." Entropy 9, no. 3: 100-107.

Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert