Do static atoms outside a Schwarzschild black hole spontaneously excite?

dc.creatorYu, Hongwei
dc.creatorZhou, Wenting
dc.date2007-07-18
dc.date.accessioned2026-07-07T11:52:47Z
dc.date.available2026-07-07T11:52:47Z
dc.descriptionThe spontaneous excitation of a two-level atom held static outside a four dimensional Schwarzschild black hole and in interaction with a massless scalar field in the Boulware, Unruh and Hartle-Hawking vacuum is investigated and the contributions of the vacuum fluctuations and radiation reaction to the rate of change of the mean atomic energy are calculated separately. We find that for the Boulware vacuum, the spontaneous excitation does not occur and the ground state atoms are stable, while the spontaneous emission rate for excited atoms in the Boulware vacuum, which is well-behaved at the event horizon, is not the same as that in the usual Minkowski vacuum. However, both for the Unruh vacuum and the Hartle-Hawking vacuum, our results show that the atom would spontaneously excite, as if there were an outgoing thermal flux of radiation or as if it were in a thermal bath of radiation at a proper temperature which reduces to the Hawking temperature in the spatial asymptotic region, depending on whether the scalar field is in the Unruh or Hartle-Hawking vacuum.
dc.description15 pages, no figures, to be published in PRD
dc.identifierhttps://arxiv.org/abs/0707.2613
dc.identifierhttp://arxiv.org/abs/0707.2613
dc.identifierPhys.Rev.D76:044023,2007
dc.identifierdoi:10.1103/PhysRevD.76.044023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204307
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleDo static atoms outside a Schwarzschild black hole spontaneously excite?
dc.typetext

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