The evolution of the Weyl and Maxwell fields in curved space-times

Mathematische Nachrichten

Volumn 179, Issue , 1996, Pages 27-45

  De Vries, Andreas ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

Evolution equation; Functional analysis; General relativity; Spinor functions

Indexed keywords

EID: 0001953333     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19961790103     Document Type: Article

References (23)

1. CARMELI, MOSHE: Group Theory and General Relativity. McGraw-Hill Inc., New York, 1977
2. CHANDRASEKHAR, SUBRAHMANYAN: The Mathematical Theory of Black Holes. Oxford University Press, Oxford, 1983
3. CHERNOFF, PAUL: Essential Self-Adjointness of Powers of Generators of Hyperbolic Equations. Journ. Func. Anal. 12 (1973), 401-414
4. CHOQUET-BRUHAT, YVONNE, DE WITT-MORETTE, CÉCILE, and DILLARD-BLEICK, MARGARET: Analysis, Manifolds, and Physics. Revised edition. North - Holland Publishing Company, Amsterdam, 1982
5. GÜVEN, RAHMIT: Wave Mechanics of Electrons in Kerr Geometry. Phys. Rev. D, 16 (6), (1977), 1706-1711
6. HAWKING, STEPHEN W., and ELLIS, G. F. R.: The Large Scale Structure of Space-Time. Cambridge University Press, Cambridge, 1973
7. KALNINS, E. G., and WILLIAMS, G. C.: Symmetry Operators and Separation of Variables for Spin-Wave Equations in Oblate Spheroidal Coordinates. Journ. Math. Phys. 31(7) (1990), 1739-1744
8. KRAMER, D., STEPHANI, H., HERLT, E., and MACUALLUM, M.: Exact Solutions of Einstein's Field Equations. Cambridge University Press, Cambridge, 1980
9. LANDAU, L. D., and LIFSCHITZ, E. M. Classical Fields. Pergamon Press, Oxford, 1975
10. MISNER, C. W.: Bull. Am. Phys. Soc., 17 (1972), 472
11. NEWMAN, EZRA T., and PENROSE, ROGER: An Approach to Gravitational Radiation by a Method of Spin Coefficients. Journ. Math. Phys. 3 (3), (1962), 566-579
12. PENROSE, R., and RINDLER, W.: Spinors and Space-Time. Vol. 1. 2-Spinor Calculus and Relativistic Fields. Cambridge University Press, Cambridge, 1984
13. STAROBINSKII, A. A., and CHURILOV, S. M.: Amplification of Electromagnetic and Gravitational Waves Scattered by a Rotating "Black Hole". Zh. Eksp. Teor. Fiz., 65 (1973), 3-11. English transi.: Soviet Phys. - JETP, 38 (1974), 1-11
14. STAROBINSKII, A. A., and CHURILOV, S. M.: Amplification of Electromagnetic and Gravitational Waves Scattered by a Rotating "Black Hole". Zh. Eksp. Teor. Fiz., 65 (1973), 3-11. English transi.: Soviet Phys. - JETP, 38 (1974), 1-11
15. STEPHANI, HANS: Allgemeine Relativitätstheorie. 4. Auflage. Deutscher Verlag der Wissenschaften, Berlin, 1991
16. TONDEUR, PHILIPPE: Foliations on Riemannian Manifolds. Springer-Verlag, New York, 1988
17. TEUKOLSKY, SAUL A.: Perturbations of a Rotating Black Hole. I. Astrophys. Journ. 185 (1973), 635-647
18. UNRUH, W. G.: Second Quantization in the Kerr Metric. Phys. Rev. D, 10 (10), (1974), 3194-3205
19. DE VRIES, ANDREAS: Über die Beschränktheit der Energienorm bei der Evolution der Dirac-, Weyl- und Maxwellfelder in gekrümmten Raumzeiten. Universitätsverlag Brockmeyer, Bochum, 1994
20. DE VRIES, A., SCHMIDT KALER. T., and BÖHME, R.: Bounds for Mass and Rotation of Black Holes in the Observable Universe. Astrophysics and Space Science 225 (1995), 221-226
21. WALD, R. M.: General Relativity. University of Chicago Press, Chicago, 1984
22. ZEL'DOVICH, YA. B.: Amplification of Cylindrical Electromagnetic Waves Reflected from a Rotating Body. Zh. Eksp. Teor. Fiz., 62 (1972), 2076-2081. English transi.: Soviet Phys. - JETP, 35, 1085-1087
23. ZEL'DOVICH, YA. B.: Amplification of Cylindrical Electromagnetic Waves Reflected from a Rotating Body. Zh. Eksp. Teor. Fiz., 62 (1972), 2076-2081. English transi.: Soviet Phys. - JETP, 35, 1085-1087