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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.

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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: https://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: 20 Jul 2018 00:34

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