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Cited by 268

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

Duality between electric and magnetic black holes

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Hawking, S. W., Ross, Simon F.·1995·Physical Review D

Abstract

A number of attempts have recently been made to extend the conjectured S duality of Yang-Mills theory to gravity. Central to these speculations has been the belief that electrically and magnetically charged black holes, the solitons of quantum gravity, have identical quantum properties. This is not obvious, because, although duality is a symmetry of the classical equations of motion, it changes the sign of the Maxwell action. Nevertheless, we show that the chemical potential and charge projection that one has to introduce for electric but not magnetic black holes exactly compensate for the difference in action in the semiclassical approximation. In particular, we show that the pair production of electric black holes is not a runaway process, as one might think if one just went by the action of the relevant instanton. We also comment on the definition of the entropy in cosmological situations, and show that we need to be more careful when defining the entropy than we are in an asymptotically flat case.

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Crossref · 10.1103/physrevd.52.5865

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Metadata

Authors
Hawking, S. W., & Ross, S. F.
Venue
Physical Review D
Published
1995-11-15
Volume
52
Issue
10
Pages
5865-5876
ISSN
0556-2821 (ISSN-L)
OpenAlex
W1974295101
Cited by
268
References
4
FWCI
7.03
Type
journal article
Language
en
Open access
green

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