期刊
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
卷 46, 期 4, 页码 635-659出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0273-0979-09-01258-0
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资金
- Deutsche Forschungsgemeinschaft
- NSERC [RGPIN 105490-2004]
- National Science Foundation [DMS-0603754]
- NSF [33-585-7510-2-30]
This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave equations for fields of general spin s = 0, 1/2, 1, 2, corresponding to scalar, Dirac, electromagnetic fields and linearized gravitational waves. We give results on the long-time dynamics of Dirac and scalar waves, including decay rates for massive Dirac fields. For scalar waves, we give a rigorous treatment of superradiance and describe rigorously a mechanism of energy extraction from a rotating black hole. Finally, we discuss the open problem of linear stability of the Kerr metric and present partial results.
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