Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime
We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish int...
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| Format: | Article |
| Language: | English |
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Springer Basel
2019
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| Online Access: | http://hdl.handle.net/1721.1/121094 |
| Summary: | We give a quantitative refinement and simple proofs of mode stability type statements for the wave equation on Kerr backgrounds in the full sub-extremal range (|a| < M). As an application, we are able to quantitatively control the energy flux along the horizon and null infinity and establish integrated local energy decay for solutions to the wave equation in any bounded-frequency regime. Keywords: Black Hole, Wave Equation, Half Plane, Quasinormal Mode, Mode Stability |
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