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

Journal of Mathematical Physics

Volumn 41, Issue 4, 2000, Pages 2173-2194

  Finster, Felix ^a   Smoller, Joel ^b   Yau, Shing Tung ^c  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b UNIVERSITY OF MICHIGAN   (United States)

^c HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034347159     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533234     Document Type: Article

References (14)

1. D. Christodoulou, "The formation of black holes and singularities in spherically symmetric gravitational collapse," Commun. Pure Appl. Math. 44, 339-373 (1991).
2. M. W. Choptuik, "Universality and scaling in the gravitational collapse of a scalar field," Phys. Rev. Lett. 70, 9-12 (1993).
3. J.-P. Nicolas, "Scattering of linear Dirac fields by a spherically symmetric black hole," Ann. Inst. H. Poincaré Physique theorique 62, 145-179 (1995).
4. J.-P. Nicolas, "Opérateur de diffusion pour le système de Dirac en métrique de Schwarzschild," C. R. Acad. Sci., Ser. I: Math. 318, 729-734 (1994).
5. S. W. Hawking, "Particle creation by black holes," Commun. Math. Phys. 43, 199-220 (1975).
6. R. Wald, General Relativity (Univ. of Chicago, Chicago, 1984).
7. 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 52, 5812-5815 (1995).
8. F. Finster, "Local U(2, 2) symmetry in relativistic quantum mechanics," J. Math. Phys. 39, 6276-6290 (1998); hep-th/9703083.
9. F. Finster, J. Smoller, and S.-T. Yau, "Particlelike solutions of the Einstein-Dirac equations," Phys. Rev. D 59, 104020 (1999); gr-qc/9801079.
10. F. Finster, J. Smoller, and S.-T. Yau, "Particlelike solutions of the Einstein-Dirac-Maxwell equations," Phys. Lett. A 259, 431-436 (1999); gr-qc/9802012.
11. R. Adler, M. Bazin, and M. Schiffer, Introduction to General Relativity, 2nd ed. (McGraw-Hill, New York, 1975).
12. J. J. Sakurai, Advanced Quantum Mechanics (Addison-Wesley, Reading, MA, 1967).
13. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1977).
14. E. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, New York, 1955).