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  A new result on the Klein-Gordon equation in the background of a rotating black hole

Beyer, H. R. (submitted). A new result on the Klein-Gordon equation in the background of a rotating black hole.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-627D-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-627E-5
Genre: Paper

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0802.3824v1.pdf (Preprint), 143KB
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 Creators:
Beyer, Horst R.1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24013              

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Free keywords: gr-qc astro-ph math-ph math.MP
 Abstract: This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential self-adjointness of the spatial part of a reduced normalized wave operator of the Kerr metric in a weighted L^2-space. As a consequence, it leads to a purely operator theoretic proof of the well-posedness of the initial value problem of the reduced Klein-Gordon equation in that field in that L^2-space and in this way generalizes a corresponding result of Kay (1985) in the case of the Schwarzschild black hole. It is believed that the employed methods are applicable to other separable wave equations.

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Language(s): eng - English
 Dates: 2008-02-26
 Publication Status: Submitted
 Pages: 10
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: URI: arXiv:0802.3824
eDoc: 337637
 Degree: -

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