The long-time dynamics of Dirac particles in the Kerr-Newman black hole geometry

Advances in Theoretical and Mathematical Physics

Volumn 7, Issue 1, 2003, Pages 25-51

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

^a UNIVERSITY OF REGENSBURG   (Germany)

^b MCGILL UNIVERSITY   (Canada)

^c UNIVERSITY OF MICHIGAN   (United States)

^d HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 26044440347     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2003.v7.n1.a2     Document Type: Article

References (8)

1. F. Finster, N. Kamran, J. Smoller, and S.-T. Yau, "Non-existence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry,", Comm. Pure Appl. Math. 53 (2000) 902-929.
2. B. Carter, "Black hole equilibrium states," in Black holes/Les astres occlus, Ecole d' été Phys. Théor., Les Houches (1972).
3. S. Chandrasekhar, "The solution of Dirac's equation in Kerr geometry," Proc. Roy. Soc. Lond. A 349, 571-575 (1976).
4. D. Page, "Dirac equation around a charged, rotating black hole," Phys. Rev. D 14, 1509 (1976).
5. N. Toop, "The thermal radiation of electrons from a charged spinning black hole in a cosmological background," preprint D.A.M.T.P., Cambridge (1976).
6. T. Kato, "Perturbation Theory for Linear Operators," 2nd edition, Springer Verlag (1976).
7. B. Kay, R. Wald, "Linear stability of Schwarzschild under perturbations which are nonvanishing on the bifurcation 2-sphere," Classical Quantum Gravity 4 (1987) 893-898.
8. M. Reed, B. Simon, B., "Methods of Modern Mathematical Physics," Vol. II, Academic Press (1975).