Physics – Mathematical Physics
Scientific paper
2008-01-09
Bull. Amer. Math. Soc. 46 (2009) 635-659
Physics
Mathematical Physics
25 pages, LaTeX, 2 figures, minor changes (published version)
Scientific paper
10.1090/S0273-0979-09-01258-0
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.
Finster Felix
Kamran Niky
Smoller Joel
Yau Shing-Tung
No associations
LandOfFree
Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear Waves in the Kerr Geometry: A Mathematical Voyage to Black Hole Physics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-670102