2006/04/06 by Parthasarathi Majumdar, Majumdar, Parthasarathi
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0604026
Latex2e, 13 pages, 2 eps figures. Contribution to the volume to be published by the Indian Association for the Cultivation of Science, Kolkata, India in revered memory of Prof. A. K. Raychaudhuri
arxiv created 2006/04/06 · arxiv updated 2009/12/01
Beginning with a brief sketch of the derivation of Hawking's theorem of horizon area increase, based on the Raychaudhuri equation, we go on to discuss the issue as to whether generic black holes, undergoing Hawking radiation, can ever remain in stable thermal equilibrium with that radiation. We derive a universal criterion for such a stability, which relates the black hole mass and microcanonical entropy, both of which are well-defined within the context of the Isolated Horizon, and in principle calculable within Loop Quantum Gravity. The criterion is argued to hold even when thermal fluctuations of electric charge are considered, within a \it grand canonical ensemble.