Thermodynamics of horizons from a dual quantum system

Details Thermodynamics of horizons from a dual quantum system Thermodynamics of horizons from a dual quantum system

2006-07-11

arxiv.org/abs/gr-qc/0607042v1

Entropy 9:100-107,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages; no figures

Scientific paper

10.3390/e9030100

It was shown recently that, in the case of Schwarschild black hole, one can obtain the correct thermodynamic relations by studying a model quantum system and using a particular duality transformation. We study this approach further for the case a general spherically symmetric horizon. We show that the idea works for a general case only if we define the entropy S as a congruence ("observer") dependent quantity and the energy E as the integral over the source of the gravitational acceleration for the congruence. In fact, in this case, one recovers the relation S=E/2T between entropy, energy and temperature previously proposed by one of us in gr-qc/0308070. This approach also enables us to calculate the quantum corrections of the Bekenstein-Hawking entropy formula for all spherically symmetric horizons.

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