Mode stability on the real axis
| Autor: | Lars Andersson, Bernard F. Whiting, Siyuan Ma, Claudio F. Paganini |
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| Rok vydání: | 2017 |
| Předmět: |
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FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake Mathematics - Analysis of PDEs 0103 physical sciences FOS: Mathematics 0101 mathematics Mathematical Physics media_common Mathematical physics Physics Spacetime 010308 nuclear & particles physics Horizon 010102 general mathematics Statistical and Nonlinear Physics Infinity Wave equation Computer Science::Numerical Analysis Massless particle Poincaré conjecture symbols 83C57 Complex plane Scalar field Analysis of PDEs (math.AP) |
| Zdroj: | Journal of Mathematical Physics |
| Popis: | A generalization of the mode stability result of Whiting (1989) for the Teukolsky equation is proved for the case of real frequencies. The main result of the paper states that a separated solution of the Teukolsky equation governing massless test fields on the Kerr spacetime, which is purely outgoing at infinity, and purely ingoing at the horizon, must vanish. This has the consequence, that for real frequencies, there are linearly independent fundamental solutions of the radial Teukolsky equation which are purely ingoing at the horizon, and purely outgoing at infinity, respectively. This fact yields a representation formula for solutions of the inhomogenous Teukolsky equation. Comment: 20 pages, 4 figures. Reference added, revtex4-1 format |
| Databáze: | OpenAIRE |
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