Two kinds of extreme black holes and their classification

Details Two kinds of extreme black holes and their classification Two kinds of extreme black holes and their classification

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.132w&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

Geometry, thermodynamics and their relation of extreme black holes have been studied in detail. According to different topological configurations, we suggest that there are two kinds of extreme black holes in the nature. We found that the Euler characteristic plays an essential role to classify these two kinds of extreme black holes. For the first kind of extreme black holes, Euler characteristic is zero, and for the second kind, Euler charactersitic is two or one provided they are four dimensional holes or two dimensional holes respectively. Thermodynamical properties of extreme black holes have close relation to geometric properties. Two different values of classical entropy and quantum entropy of scalar fields in the extreme black hole backgrounds have been obtained. A new divergent term emerges in the quantum entropy for the second kind of extreme black holes and its connection with the phase transition has been addressed.

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