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- W2023461910 abstract "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 $s=0,frac {1}{2}, 1, 2$, 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." @default.
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- W2023461910 date "2009-01-01" @default.
- W2023461910 modified "2023-10-18" @default.
- W2023461910 title "Linear waves in the Kerr geometry: A mathematical voyage to black hole physics" @default.
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- W2023461910 doi "https://doi.org/10.1090/s0273-0979-09-01258-0" @default.
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