Abstract By using the path integral method of Gibbons and Hawking, the entropy of the Kerr-de Sitter black hole is investigated under the microcanonical ensemble. We find that the entropy is one eighth the sum of the products of the Euler number of its cosmological horizon and event horizon with their respective areas. It is shown that the origin of the entropy of the black hole is related to the topology of its instanton.
Received: 19 June 2001
Revised: 17 August 2001
Accepted manuscript online:
PACS:
04.70.Dy
(Quantum aspects of black holes, evaporation, thermodynamics)
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