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  Mode stability on the real axis

Andersson, L., Ma, S., Paganini, C., & Whiting, B. F. (2017). Mode stability on the real axis. Journal of Mathematical Physics, 58: 072501.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-585E-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-5863-B
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 Creators:
Andersson, Lars1, Author              
Ma, Siyuan, Author
Paganini, Claudio, Author
Whiting, Bernard F., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Mathematics, Analysis of PDEs, math.AP,
 Abstract: 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.

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 Dates: 2016-07-102016-09-162017
 Publication Status: Published in print
 Pages: 20 pages, 4 figures. Reference added, revtex4-1 format
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 Identifiers: arXiv: 1607.02759
DOI: 10.1063/1.4991656
URI: http://arxiv.org/abs/1607.02759
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Title: Journal of Mathematical Physics
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Pages: - Volume / Issue: 58 Sequence Number: 072501 Start / End Page: - Identifier: -