The University of Southampton
University of Southampton Institutional Repository

Critical collapse of a rotating scalar field in $2+1$ dimensions

Critical collapse of a rotating scalar field in $2+1$ dimensions
Critical collapse of a rotating scalar field in $2+1$ dimensions
We carry out numerical simulations of the collapse of a complex rotating scalar field of the form $\Psi(t,r,\theta)=e^{im\theta}\Phi(t,r)$, giving rise to an axisymmetric metric, in 2+1 spacetime dimensions with cosmological constant $\Lambda 0$ is very different from the case $m=0$ we have considered before: the thresholds for mass scaling and Ricci scaling are significantly different (for the same family), scaling stops well above the scale set by $\Lambda$, and the exponents depend strongly on the family. Hence, in contrast to the $m=0$ case, and to many other self-gravitating systems, there is only weak evidence for the collapse threshold being controlled by a self-similar critical solution and no evidence for it being universal.
gr-qc
1550-7998
Jałmużna, Joanna
2600ccc1-f088-40b3-99c8-b1861e3b9990
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Jałmużna, Joanna
2600ccc1-f088-40b3-99c8-b1861e3b9990
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc

Jałmużna, Joanna and Gundlach, Carsten (2017) Critical collapse of a rotating scalar field in $2+1$ dimensions. Physical Review D. (doi:10.1103/PhysRevD.95.084001).

Record type: Article

Abstract

We carry out numerical simulations of the collapse of a complex rotating scalar field of the form $\Psi(t,r,\theta)=e^{im\theta}\Phi(t,r)$, giving rise to an axisymmetric metric, in 2+1 spacetime dimensions with cosmological constant $\Lambda 0$ is very different from the case $m=0$ we have considered before: the thresholds for mass scaling and Ricci scaling are significantly different (for the same family), scaling stops well above the scale set by $\Lambda$, and the exponents depend strongly on the family. Hence, in contrast to the $m=0$ case, and to many other self-gravitating systems, there is only weak evidence for the collapse threshold being controlled by a self-similar critical solution and no evidence for it being universal.

Other
pdf - Accepted Manuscript
Download (824kB)

More information

Accepted/In Press date: 3 April 2017
e-pub ahead of print date: 3 April 2017
Published date: 28 April 2017
Additional Information: Version accepted for publication in PRD
Keywords: gr-qc
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 410362
URI: http://eprints.soton.ac.uk/id/eprint/410362
ISSN: 1550-7998
PURE UUID: 715f6df4-ef68-4184-a076-3dae8eb29294
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

Date deposited: 07 Jun 2017 16:30
Last modified: 16 Mar 2024 03:15

Export record

Altmetrics

Contributors

Author: Joanna Jałmużna

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.

×