Duality between Electric and Magnetic Black Holes

dc.creatorHawking, S. W.
dc.creatorRoss, S. F.
dc.date1995-04-05
dc.date1995-05-17
dc.date.accessioned2026-07-07T10:35:18Z
dc.date.available2026-07-07T10:35:18Z
dc.descriptionA 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 semi-classical 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.
dc.description23 pages, revtex, no figures. Major revision: two sections on the electric Ernst solution added
dc.identifierhttps://arxiv.org/abs/hep-th/9504019
dc.identifierhttp://arxiv.org/abs/hep-th/9504019
dc.identifierPhys.Rev.D52:5865-5876,1995
dc.identifierdoi:10.1103/PhysRevD.52.5865
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179712
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDuality between Electric and Magnetic Black Holes
dc.typetext

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