We examine the thermodynamics of a near-extremal Kerr black hole, and demonstrate that the geometry behaves as an ordinary quantum system with a vanishingly small degeneracy at low temperatures. This is in contrast with the classical analysis, which instead predicts a macroscopic entropy for the extremal Kerr black hole. Our results follow from a careful analysis of the gravitational path integral. Specifically, the low temperature canonical partition function behaves as
- Award ID(s):
- 1914860
- PAR ID:
- 10381948
- Date Published:
- Journal Name:
- Journal of Physics A: Mathematical and Theoretical
- Volume:
- 55
- Issue:
- 1
- ISSN:
- 1751-8113
- Page Range / eLocation ID:
- 014004
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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