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

Beyer, Horst R.

doi:10.1063/1.3037327

Datensatz

DATENSATZ AKTIONENEXPORT

Zur Ablage hinzufügen

Lokale TagsFreigabegeschichteDetailsÜbersicht

Freigegeben

Zeitschriftenartikel

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

MPG-Autoren

Beyer, Horst R.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Externe Ressourcen

Es sind keine externen Ressourcen hinterlegt

Volltexte (beschränkter Zugriff)

Für Ihren IP-Bereich sind aktuell keine Volltexte freigegeben.

Volltexte (frei zugänglich)

0802.3824v1.pdf
(Preprint), 143KB

JMP1.3037327.pdf
(beliebiger Volltext), 364KB

Ergänzendes Material (frei zugänglich)

Es sind keine frei zugänglichen Ergänzenden Materialien verfügbar

Zitation

Beyer, H. R. (2009). A new result on the Klein-Gordon equation in the background of a rotating black hole. Journal of Mathematical Physics, 50: 012502. doi:10.1063/1.3037327.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0013-627D-7

Zusammenfassung

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.