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Class. Quantum Grav. 7 (January 1990) 15-18

Black holes and gravitational thermodynamics

B F Whiting
Dept. of Phys. & Astron., North Carolina Univ., Chapel Hill, NC, USA

Abstract. The 0-loop approximation for black-hole thermodynamics is applicable only when there are globally stable classical solutions to the corresponding boundary value problem. By including contributions from a specific class of non-classical geometries and by giving a measure for the path integral compatible with the classical limit, it has been possible to evaluate corrections to the partition function of the chi =2 topological sector, even when no classical solution exists. A density of states with very reasonable physical properties is also determined for this black-hole topology, consistent with earlier work.

URL: stacks.iop.org/0264-9381/7/15
DOI: 10.1088/0264-9381/7/1/007

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