Show simple item record

Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole background

dc.contributor.authorFinster, Felixen_US
dc.contributor.authorSmoller, Joel A.en_US
dc.contributor.authorYau, Shing-Tungen_US
dc.date.accessioned2010-05-06T23:06:51Z
dc.date.available2010-05-06T23:06:51Z
dc.date.issued2000-04en_US
dc.identifier.citationFinster, 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.urihttps://hdl.handle.net/2027.42/71042
dc.description.abstractIt 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.extent3102 bytes
dc.format.extent214551 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleNon-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordström black hole backgrounden_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumMathematics Department, The University of Michigan, Ann Arbor, Michigan 48109en_US
dc.contributor.affiliationotherMax Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, 04103 Leipzig, Germanyen_US
dc.contributor.affiliationotherMathematics Department, Harvard University, Cambridge, Massachusetts 02138en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71042/2/JMAPAQ-41-4-2173-1.pdf
dc.identifier.doi10.1063/1.533234en_US
dc.identifier.sourceJournal of Mathematical Physicsen_US
dc.identifier.citedreferenceD. 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.citedreferenceM. W. Choptuik, “Universality and scaling in the gravitational collapse of a scalar field,” Phys. Rev. Lett. PRLTAO70, 9–12 (1993).en_US
dc.identifier.citedreferenceJ.-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.citedreferenceJ.-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.citedreferenceS. W. Hawking, “Particle creation by black holes,” Commun. Math. Phys. CMPHAY43, 199–220 (1975).en_US
dc.identifier.citedreferenceR. Wald, General Relativity (Univ. of Chicago, Chicago, 1984).en_US
dc.identifier.citedreferenceJ. 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.citedreferenceF. Finster, “Local U(2, 2) symmetry in relativistic quantum mechanics,” J. Math. Phys. JMAPAQ39, 6276–6290 (1998); hep-th/9703083.en_US
dc.identifier.citedreferenceF. 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.citedreferenceF. 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.citedreferenceR. Adler, M. Bazin, and M. Schiffer, Introduction to General Relativity, 2nd ed. (McGraw–Hill, New York, 1975).en_US
dc.identifier.citedreferenceJ. J. Sakurai, Advanced Quantum Mechanics (Addison–Wesley, Reading, MA, 1967).en_US
dc.identifier.citedreferenceL. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1977).en_US
dc.identifier.citedreferenceE. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw–Hill, New York, 1955).en_US
dc.owningcollnamePhysics, Department of


Files in this item

Show simple item record

Remediation of Harmful Language

The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.

Accessibility

If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.