NUT charge, anti–de Sitter space, and entropy

S. W. Hawking, C. J. Hunter, and Don N. Page
Phys. Rev. D 59, 044033 – Published 28 January 1999
An article within the collection: The Work of Stephen Hawking in Physical Review
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Abstract

It has been proposed that spacetimes with a U(1) isometry group have contributions to the entropy from Misner strings as well as from the area of d2 dimensional fixed point sets. In this paper we test this proposal by constructing Taub-NUT-AdS and Taub-bolt-AdS solutions which are examples of a new class of asymptotically locally anti–de Sitter space. We find that with the additional contribution from the Misner strings, we exactly reproduce the entropy calculated from the action by the usual thermodynamic relations. This entropy has the right parameter dependence to agree with the entropy of a conformal field theory on the boundary, which is a squashed three-sphere, at least in the limit of large squashing. However, the conformal field theory and the normalization of the entropy remain to be determined.

  • Received 25 September 1998

DOI:https://doi.org/10.1103/PhysRevD.59.044033

©1999 American Physical Society

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This article appears in the following collection:

The Work of Stephen Hawking in Physical Review

To mark the passing of Stephen Hawking, we gathered together his 55 papers in Physical Review D and Physical Review Letters. They probe the edges of space and time, from "Black holes and thermodynamics” to "Wave function of the Universe."

Authors & Affiliations

S. W. Hawking* and C. J. Hunter

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, United Kingdom

Don N. Page

  • CIAR Cosmology Program, Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada, T6G 2J1

  • *Email address: S.W.Hawking@damtp.cam.ac.uk
  • Email address: C.J.Hunter@damtp.cam.ac.uk
  • Email address: don@phys.ualberta.ca

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Vol. 59, Iss. 4 — 15 February 1999

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