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Critical phenomena in the gravitational collapse of electromagnetic qaves

Critical phenomena in the gravitational collapse of electromagnetic qaves
Critical phenomena in the gravitational collapse of electromagnetic qaves
We numerically investigate the threshold of black-hole formation in the gravitational collapse of electromagnetic waves in axisymmetry. We find approximate power-law scaling
ρ
max

(
η


η
)

2
γ
of the maximum density in the time evolution of near-subcritical data with
γ

0.145
, where
η
is the amplitude of the initial data. We directly observe approximate discrete self-similarity in near-critical time evolutions with a log-scale echoing period of
Δ

0.55
. The critical solution is approximately the same for two families of initial data, providing some evidence of universality. Neither the discrete self-similarity nor the universality, however, are exact. We speculate that the absence of an exactly discrete self-similarity might be caused by the interplay of electromagnetic and gravitational wave degrees of freedom, or by the presence of higher-order angular multipoles, or both, and discuss implications of our findings for the critical collapse of vacuum gravitational waves.
0031-9007
Baumgarte, Thomas W.
fa9007a1-bb4a-4527-b199-5fc26e0ff89c
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Hilditch, David
108ec927-5127-4228-86d5-493291f22021
Baumgarte, Thomas W.
fa9007a1-bb4a-4527-b199-5fc26e0ff89c
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Hilditch, David
108ec927-5127-4228-86d5-493291f22021

Baumgarte, Thomas W., Gundlach, Carsten and Hilditch, David (2019) Critical phenomena in the gravitational collapse of electromagnetic qaves. Physical Review Letters, 123 (17), [171103]. (doi:10.1103/PhysRevLett.123.171103).

Record type: Article

Abstract

We numerically investigate the threshold of black-hole formation in the gravitational collapse of electromagnetic waves in axisymmetry. We find approximate power-law scaling
ρ
max

(
η


η
)

2
γ
of the maximum density in the time evolution of near-subcritical data with
γ

0.145
, where
η
is the amplitude of the initial data. We directly observe approximate discrete self-similarity in near-critical time evolutions with a log-scale echoing period of
Δ

0.55
. The critical solution is approximately the same for two families of initial data, providing some evidence of universality. Neither the discrete self-similarity nor the universality, however, are exact. We speculate that the absence of an exactly discrete self-similarity might be caused by the interplay of electromagnetic and gravitational wave degrees of freedom, or by the presence of higher-order angular multipoles, or both, and discuss implications of our findings for the critical collapse of vacuum gravitational waves.

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Critical Phenomena in the gravitational collapse of electromagnetic wavespdf - Accepted Manuscript
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More information

Accepted/In Press date: 22 September 2019
e-pub ahead of print date: 25 October 2019

Identifiers

Local EPrints ID: 436044
URI: http://eprints.soton.ac.uk/id/eprint/436044
ISSN: 0031-9007
PURE UUID: a7d1f6be-5da8-441c-97d8-9a815f81218e
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

Catalogue record

Date deposited: 27 Nov 2019 17:30
Last modified: 03 Dec 2019 01:54

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