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
Jałmużna, Joanna
2600ccc1-f088-40b3-99c8-b1861e3b9990
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
28 April 2017
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).
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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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
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Date deposited: 07 Jun 2017 16:30
Last modified: 16 Mar 2024 03:15
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Author:
Joanna Jałmużna
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