Generalized Area Law under Multi-parameter Rotating Black Hole Spacetime
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
We study the statistical mechanics for quantum scalar fields under the multi-parameter rotating black hole spacetime in arbitrary D dimensions. The method of analysis is general in the sense that the metric does not depend on the explicit black hole solutions. The generalized Stefan-Boltzmann's law for the scalar field is derived by considering the allowed energy region properly. Then the generalized area law for the scalar field entropy is derived by introducing the invariant regularization parameter in the Rindler spacetime. The derived area law is applied to Kerr-AdS black holes in four and five dimensions. Thermodynamic implication is also discussed.
Cite
@article{arxiv.gr-qc/0604039,
title = {Generalized Area Law under Multi-parameter Rotating Black Hole Spacetime},
author = {Masakatsu Kenmoku and Yuki Kobayashi},
journal= {arXiv preprint arXiv:gr-qc/0604039},
year = {2009}
}
Comments
27 pages, no figures