Action principle and partition function for the gravitational field in black-hole topologies

Details Action principle and partition function for the gravitational field in black-hole topologies Action principle and partition function for the gravitational field in black-hole topologies

Sep 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phrvl..61.1336w&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 61, Sept. 19, 1988, p. 1336-1339.

Statistics

Computation

109

Black Holes (Astronomy), Computational Astrophysics, Gravitational Fields, Partitions (Mathematics), Cosmology, Entropy, Topology

Scientific paper

Statistical mechanics of gravitational fields describing the black-hole topological sector, and the correspondence to thermodynamics, are considered. The Euclidean action is evaluated on the constraint hypersurface and a measure is obtained, resulting in a path-integral form of the canonical partition function. The authors obtain the usual black-hole entropy plus quantum corrections when the temperature and size of the system are appropriate. Under other conditions, they give evidence for the existence of a phase transition (change of topology).

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