Nonvanishing entropy of extremal charged black holes

Details Nonvanishing entropy of extremal charged black holes Nonvanishing entropy of extremal charged black holes

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.6559l&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 10, 15 November 1996, pp.6559-6562

Physics

32

Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Quantum Field Theory In Curved Spacetime, Renormalization

Scientific paper

We calculate the entropy of a scalar field in terms of the brick-wall method by faithfully following the definition of the extremal black hole with zero Hawking temperature. Without recourse to the Euclidean formalism, which gives the arbitrary nonvanishing temperature, we obtain the nonvanishing and divergent entropy in the two-dimensional dilaton-Maxwell theory and the four-dimensional Reissner-Nordström solution even for the vanishing Hawking temperature in view of the microcanonical ensemble.

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