Finster, Felix and Kamran, Niky and Smoller, J. and Yau, S.-T.
(2005)
*An Integral Spectral Representation of the Propagator for the Wave Equation in the Kerr Geometry.*
Communications in Mathematical Physics 260 (2), pp. 257-298.

| PDF Download (514kB) |

## Abstract

We consider the scalar wave equation in the Kerr geometry for Cauchy data which is smooth and compactly supported outside the event horizon. We derive an integral representation which expresses the solution as a superposition of solutions of the radial and angular ODEs which arise in the separation of variables. In particular, we prove completeness of the solutions of the separated ODEs. This ...

## Export bibliographical data

Item Type: | Article | ||||||
---|---|---|---|---|---|---|---|

Date: | December 2005 | ||||||

Institutions: | Mathematics > Prof. Dr. Felix Finster | ||||||

Identification Number: |
| ||||||

Subjects: | 500 Science > 510 Mathematics | ||||||

Status: | Published | ||||||

Refereed: | Yes, this version has been refereed | ||||||

Created at the University of Regensburg: | Yes | ||||||

Owner: | Petra Gürster | ||||||

Deposited On: | 27 Nov 2009 07:13 | ||||||

Last Modified: | 13 Mar 2014 12:08 | ||||||

Item ID: | 11000 |

Owner Only: item control page