Critical phenomena in the collapse of quadrupolar and hexadecapolar gravitational waves
Critical phenomena in the collapse of quadrupolar and hexadecapolar gravitational waves
We report on numerical simulations of critical phenomena near the threshold of black-hole formation in the collapse of axisymmetric gravitational waves in vacuum. We discuss several new features of our numerical treatment, and then compare results obtained from families of quadrupolar and hexadecapolar initial data. Specifically, we construct (nonlinear) initial data from quadrupolar and hexadecapolar, time-symmetric wavelike solutions to the linearized Einstein equations (often referred to as Teukolsky waves), and evolve these using a shock-avoiding slicing condition. While our degree of fine-tuning to the onset of black-hole formation is rather modest, we identify several features of the threshold solutions formed for the two families. Both threshold solutions appear to display an at least approximate discrete self-similarity with an accumulation event at the center, and the characteristics of the threshold solution for the quadrupolar data are consistent with those found previously by other authors. The hexadecapolar threshold solution appears to be distinct from the quadrupolar one, providing further support to the notion that there is no universal critical solution for the collapse of vacuum gravitational waves.
Baumgarte, Thomas W.
fa9007a1-bb4a-4527-b199-5fc26e0ff89c
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Hilditch, David
108ec927-5127-4228-86d5-493291f22021
15 April 2023
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
(2023)
Critical phenomena in the collapse of quadrupolar and hexadecapolar gravitational waves.
Physical Review D, 107 (8), [084012].
(doi:10.1103/PhysRevD.107.084012).
Abstract
We report on numerical simulations of critical phenomena near the threshold of black-hole formation in the collapse of axisymmetric gravitational waves in vacuum. We discuss several new features of our numerical treatment, and then compare results obtained from families of quadrupolar and hexadecapolar initial data. Specifically, we construct (nonlinear) initial data from quadrupolar and hexadecapolar, time-symmetric wavelike solutions to the linearized Einstein equations (often referred to as Teukolsky waves), and evolve these using a shock-avoiding slicing condition. While our degree of fine-tuning to the onset of black-hole formation is rather modest, we identify several features of the threshold solutions formed for the two families. Both threshold solutions appear to display an at least approximate discrete self-similarity with an accumulation event at the center, and the characteristics of the threshold solution for the quadrupolar data are consistent with those found previously by other authors. The hexadecapolar threshold solution appears to be distinct from the quadrupolar one, providing further support to the notion that there is no universal critical solution for the collapse of vacuum gravitational waves.
Text
2303.05530
- Accepted Manuscript
Text
PhysRevD.107.084012
- Version of Record
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Accepted/In Press date: 20 March 2023
e-pub ahead of print date: 6 April 2023
Published date: 15 April 2023
Additional Information:
Funding Information:
This study was supported by the Oberwolfach Research Fellows program at the Mathematisches Forschungsinstitut Oberwolfach in 2022; we greatly appreciate the institute’s and its staff’s hospitality and support during our stay. This work was also supported in part by National Science Foundation Grant No. PHY-2010394 to Bowdoin College, as well as by the FCT (Portugal) IF Programs No. IF/00577/2015 and No. PTDC/MAT-APL/30043/2017 and Project No. UIDB/00099/2020. Numerical simulations were performed on the Bowdoin Computational Grid.
Publisher Copyright:
© 2023 American Physical Society.
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Local EPrints ID: 477187
URI: http://eprints.soton.ac.uk/id/eprint/477187
ISSN: 2470-0010
PURE UUID: f5df3d23-a52b-4246-ae85-f7f4fc7f87b3
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Date deposited: 31 May 2023 17:10
Last modified: 17 Mar 2024 02:51
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Author:
Thomas W. Baumgarte
Author:
David Hilditch
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