The University of Southampton
University of Southampton Institutional Repository

Evolving test-fields in the geometry of a black hole

Andersson, Nils (1997) Evolving test-fields in the geometry of a black hole Physical Review D, 55, (2), pp. 468-479. (doi:10.1103/PhysRevD.55.468).

Record type: Article


We consider the initial value problem for a massless scalar field in the Schwarzschild geometry. When constructed using a complex-frequency approach the necessary Green’s function splits into three components. We discuss all of these in some detail. (1) The contribution from the singularities (the quasinormal modes of the black hole) is approximated and the mode sum is demonstrated to converge after a certain well-defined time in the evolution. A dynamic description of the mode excitation is introduced and tested. (2) It is shown how a straightforward low-frequency approximation to the integral along the branch cut in the black-hole Green’s function leads to the anticipated power-law falloff at very late times. We also calculate higher order corrections to this tail and show that they provide an important complement to the leading order. (3) The high-frequency problem is also considered. We demonstrate that the combination of the obtained approximations for the quasinormal modes and the power-law tail provide a complete description of the evolution at late times. Problems that arise (in the complex-frequency picture) for early times are also discussed, as is the fact that many of the presented results generalize to, for example, Kerr black holes.

Full text not available from this repository.

More information

Published date: 1997


Local EPrints ID: 29168
ISSN: 1550-7998
PURE UUID: a7f99d50-76d3-47b3-9d08-db6bc12be05a

Catalogue record

Date deposited: 07 Feb 2007
Last modified: 17 Jul 2017 15:58

Export record


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.