Microcanonical description of (micro) black holes

Details Microcanonical description of (micro) black holes Microcanonical description of (micro) black holes

2011-01-07

arxiv.org/abs/1101.1384v2

Entropy 13:502-517,2011

Physics

High Energy Physics

High Energy Physics - Theory

Review article published in Entropy special issue "Entropy in quantum gravity", editor R. Garattini

Scientific paper

10.3390/e13020502

The microcanonical ensemble is the proper ensemble to describe black holes which are not in thermodynamic equilibrium, such as radiating black holes. This choice of ensemble eliminates the problems, e.g. negative specific heat and loss of unitarity, encountered when the canonical ensemble is used. In this review we present an overview of the weaknesses of the standard thermodynamic description of black holes and show how the microcanonical approach can provide a consistent description of black holes and their Hawking radiation at all energy scales. Our approach is based on viewing the horizon area as yielding the ensemble density at fixed system energy. We then compare the decay rates of black holes in the two different pictures. Our description is particularly relevant for the analysis of micro-black holes whose existence is predicted in models with extra- spatial dimensions.

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