ISSN:
1572-9532
Keywords:
Gravitational thermodynamics
;
quantum cosmology
;
constrained gravitational instanton
;
black hole creation
;
supercanonical ensemble
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In gravitational thermodynamics, the entropy of a black hole with distinct surface gravities can be evaluated in a microcanonical ensemble. At the WKB level, the entropy becomes the negative of the Euclidean action of the constrained instanton, which is the seed for the black hole creation in the no-boundary universe. Using the Gauss-Bonnet theorem, we prove the quite universal formula in Euclidean quantum gravity that the entropy of a nonrotating black hole is one quarter the sum of the products of the Euler characteristics and the areas of the horizons. For Lovelock gravity, the entropy and quantum creation of a black hole are also studied.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1001984731021
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