The University of Southampton
University of Southampton Institutional Repository

Late time tails of wave propagation in higher dimensional space-times

Late time tails of wave propagation in higher dimensional space-times
Late time tails of wave propagation in higher dimensional space-times
We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic, and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a power-law falloff, but the power law is highly sensitive to the dimensionality of the spacetime. Accordingly, for odd D>3 we find that the field behaves as t−(2l+D−2) at late times, where l is the angular index determining the angular dependence of the field. This behavior is entirely due to D being odd; it does not depend on the presence of a black hole in the spacetime. Indeed this tail is already present in the flat space Green’s function. On the other hand, for even D>4 the field decays as t−(2l+3D−8), and this time there is no contribution from the flat background. This power law is entirely due to the presence of the black hole. The D=4 case is special and exhibits, as is well known, t−(2l+3) behavior. In the extra dimensional scenario for our Universe, our results are strictly correct if the extra dimensions are infinite, but also give a good description of the late-time behavior of any field if the large extra dimensions are large enough.
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Yoshida, Shijun
7671361b-0f79-4404-b1f3-537b855e4f22
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Yoshida, Shijun
7671361b-0f79-4404-b1f3-537b855e4f22
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Lemos, Jose P.S.
4e94199c-42b9-4592-9da9-f5035913088c

Cardoso, Vitor, Yoshida, Shijun, Dias, Oscar J.C. and Lemos, Jose P.S. (2003) Late time tails of wave propagation in higher dimensional space-times. Phys.Rev.D, 68 (6), [061503]. (doi:10.1103/PhysRevD.68.061503).

Record type: Article

Abstract

We study the late-time tails appearing in the propagation of massless fields (scalar, electromagnetic, and gravitational) in the vicinities of a D-dimensional Schwarzschild black hole. We find that at late times the fields always exhibit a power-law falloff, but the power law is highly sensitive to the dimensionality of the spacetime. Accordingly, for odd D>3 we find that the field behaves as t−(2l+D−2) at late times, where l is the angular index determining the angular dependence of the field. This behavior is entirely due to D being odd; it does not depend on the presence of a black hole in the spacetime. Indeed this tail is already present in the flat space Green’s function. On the other hand, for even D>4 the field decays as t−(2l+3D−8), and this time there is no contribution from the flat background. This power law is entirely due to the presence of the black hole. The D=4 case is special and exhibits, as is well known, t−(2l+3) behavior. In the extra dimensional scenario for our Universe, our results are strictly correct if the extra dimensions are infinite, but also give a good description of the late-time behavior of any field if the large extra dimensions are large enough.

This record has no associated files available for download.

More information

Published date: 15 September 2003
Additional Information: ©2003 American Physical Society

Identifiers

Local EPrints ID: 468160
URI: http://eprints.soton.ac.uk/id/eprint/468160
PURE UUID: 03a56612-f3c5-4c13-ba83-5d8cecddff85
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

Catalogue record

Date deposited: 04 Aug 2022 16:37
Last modified: 05 Aug 2022 01:46

Export record

Altmetrics

Contributors

Author: Vitor Cardoso
Author: Shijun Yoshida
Author: Oscar J.C. Dias ORCID iD
Author: Jose P.S. Lemos

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.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

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.

×