Entropy of static spacetimes and microscopic density of states

Padmanabhan, T. (2004) Entropy of static spacetimes and microscopic density of states Classical and Quantum Gravity, 21 (18). pp. 4485-4494. ISSN 0264-9381

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Official URL: http://iopscience.iop.org/0264-9381/21/18/013

Related URL: http://dx.doi.org/10.1088/0264-9381/21/18/013

Abstract

A general ansatz for gravitational entropy can be provided using the criterion that any patch of area which acts as a horizon for a suitably defined accelerated observer must have an entropy proportional to its area. After providing a brief justification for this ansatz, several consequences are derived. (i) In any static spacetime with a horizon and associated temperature β-1, this entropy satisfies the relation S = (½)βE where E is the energy source for gravitational acceleration, obtained as an integral of (Tab - (½)Tgabaμb. (ii) With this ansatz of S, the minimization of Einstein-Hilbert action is equivalent to minimizing the free energy F with βF = βU - S where U is the integral of Tabuaub. We discuss the conditions under which these results imply S α E2 and/or S α U thereby generalizing the results known for black holes. This approach links with several other known results, especially the holographic views of spacetime.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:73549
Deposited On:09 Dec 2011 05:28
Last Modified:09 Dec 2011 05:28

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