Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background
dc.contributor.author | Finster, Felix | en_US |
dc.contributor.author | Smoller, Joel A. | en_US |
dc.contributor.author | Yau, Shing-Tung | en_US |
dc.date.accessioned | 2010-05-06T23:06:51Z | |
dc.date.available | 2010-05-06T23:06:51Z | |
dc.date.issued | 2000-04 | en_US |
dc.identifier.citation | Finster, Felix; Smoller, Joel; Yau, Shing-Tung (2000). "Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background." Journal of Mathematical Physics 41(4): 2173-2194. <http://hdl.handle.net/2027.42/71042> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/71042 | |
dc.description.abstract | It is shown analytically that the Dirac equation has no normalizable, time-periodic solutions in a Reissner–Nordström black hole background; in particular, there are no static solutions of the Dirac equation in such a background metric. The physical interpretation is that Dirac particles can either disappear into the black hole or escape to infinity, but they cannot stay on a periodic orbit around the black hole. © 2000 American Institute of Physics. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 214551 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Mathematics Department, The University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.contributor.affiliationother | Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germany | en_US |
dc.contributor.affiliationother | Mathematics Department, Harvard University, Cambridge, Massachusetts 02138 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/71042/2/JMAPAQ-41-4-2173-1.pdf | |
dc.identifier.doi | 10.1063/1.533234 | en_US |
dc.identifier.source | Journal of Mathematical Physics | en_US |
dc.identifier.citedreference | D. Christodoulou, “The formation of black holes and singularities in spherically symmetric gravitational collapse,” Commun. Pure Appl. Math. CPAMAT44, 339–373 (1991). | en_US |
dc.identifier.citedreference | M. W. Choptuik, “Universality and scaling in the gravitational collapse of a scalar field,” Phys. Rev. Lett. PRLTAO70, 9–12 (1993). | en_US |
dc.identifier.citedreference | J.-P. Nicolas, “Scattering of linear Dirac fields by a spherically symmetric black hole,” Ann. Inst. H. Poincaré Physique theorique AIPTEO62, 145–179 (1995). | en_US |
dc.identifier.citedreference | J.-P. Nicolas, “Opérateur de diffusion pour le système de Dirac en métrique de Schwarzschild,” C. R. Acad. Sci., Ser. I: Math. CASMEI318, 729–734 (1994). | en_US |
dc.identifier.citedreference | S. W. Hawking, “Particle creation by black holes,” Commun. Math. Phys. CMPHAY43, 199–220 (1975). | en_US |
dc.identifier.citedreference | R. Wald, General Relativity (Univ. of Chicago, Chicago, 1984). | en_US |
dc.identifier.citedreference | J. Smoller and A. Wasserman, “Uniqueness of the extreme Reissner-Nordström solution in SU(2) Einstein-Yang-Mills theory for spherically symmetric space-time,” Phys. Rev. D PRVDAQ52, 5812–5815 (1995). | en_US |
dc.identifier.citedreference | F. Finster, “Local U(2, 2) symmetry in relativistic quantum mechanics,” J. Math. Phys. JMAPAQ39, 6276–6290 (1998); hep-th/9703083. | en_US |
dc.identifier.citedreference | F. Finster, J. Smoller, and S.-T. Yau, “Particlelike solutions of the Einstein-Dirac equations,” Phys. Rev. D PRVDAQ59, 104020 (1999); gr-qc/9801079. | en_US |
dc.identifier.citedreference | F. Finster, J. Smoller, and S.-T. Yau, “Particlelike solutions of the Einstein-Dirac-Maxwell equations,” Phys. Lett. A PYLAAG259, 431–436 (1999); gr-qc/9802012. | en_US |
dc.identifier.citedreference | R. Adler, M. Bazin, and M. Schiffer, Introduction to General Relativity, 2nd ed. (McGraw–Hill, New York, 1975). | en_US |
dc.identifier.citedreference | J. J. Sakurai, Advanced Quantum Mechanics (Addison–Wesley, Reading, MA, 1967). | en_US |
dc.identifier.citedreference | L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1977). | en_US |
dc.identifier.citedreference | E. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw–Hill, New York, 1955). | en_US |
dc.owningcollname | Physics, Department of |
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