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Microcanonical Description of (Micro) Black Holes
INFN Sezione di Bologna, c/o Dipartimento di Fisica, Università di Bologna, via Irnerio 46, 40126 Bologna, Italy
Department of Physics and Astronomy, University of Alabama, Box 870324, Tuscaloosa, AL 35487, USA
* Author to whom correspondence should be addressed.
Received: 12 January 2011; in revised form: 27 January 2011 / Accepted: 8 February 2011 / Published: 14 February 2011
Abstract: 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 (not allowed in the canonical ensemble) 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 existenceis predicted in models with extra-spatial dimensions.
Keywords: black holes; Hawking effect; microcanonical ensemble; extra dimensions
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Casadio, R.; Harms, B. Microcanonical Description of (Micro) Black Holes. Entropy 2011, 13, 502-517.
Casadio R, Harms B. Microcanonical Description of (Micro) Black Holes. Entropy. 2011; 13(2):502-517.
Casadio, Roberto; Harms, Benjamin. 2011. "Microcanonical Description of (Micro) Black Holes." Entropy 13, no. 2: 502-517.