The University of Southampton
University of Southampton Institutional Repository

Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system

Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system
Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system
We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a curvature singularity by construction, and their initial data on a Cauchy surface to the past of the singularity can be chosen to have compact support in momentum space. They can also be truncated at large radius so that they have compact support in space, while retaining self-similarity in a central region that includes the singularity. However, the Vlasov distribution function cannot be bounded. As a simpler illustration of our techniques and notation we also construct the general spherically symmetric and static solution, for both massive and massless particles.
1550-7998
084062-[18pp]
Martin-Garcia, Jose M.
b7d735d1-2f76-4585-927d-ac868cc6bd90
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Martin-Garcia, Jose M.
b7d735d1-2f76-4585-927d-ac868cc6bd90
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc

Martin-Garcia, Jose M. and Gundlach, Carsten (2002) Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system. Physical Review D, 65 (8), 084062-[18pp]. (doi:10.1103/PhysRevD.65.084026).

Record type: Article

Abstract

We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a curvature singularity by construction, and their initial data on a Cauchy surface to the past of the singularity can be chosen to have compact support in momentum space. They can also be truncated at large radius so that they have compact support in space, while retaining self-similarity in a central region that includes the singularity. However, the Vlasov distribution function cannot be bounded. As a simpler illustration of our techniques and notation we also construct the general spherically symmetric and static solution, for both massive and massless particles.

Full text not available from this repository.

More information

Published date: 15 April 2002

Identifiers

Local EPrints ID: 29191
URI: https://eprints.soton.ac.uk/id/eprint/29191
ISSN: 1550-7998
PURE UUID: 1b84ef16-18ca-4bf2-a565-f180af12c280
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

Date deposited: 11 May 2006
Last modified: 20 Jul 2018 00:34

Export record

Altmetrics

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 https://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.

×