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A new transition between discrete and continuous self-similarity in critical gravitational collapse

A new transition between discrete and continuous self-similarity in critical gravitational collapse
A new transition between discrete and continuous self-similarity in critical gravitational collapse
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) ? models. As the dimensionless coupling constant decreases, the critical solution changes from discretely self-similar (DSS) to continuously self-similar (CSS). Numerical results provide evidence for a bifurcation which is analogous to a heteroclinic loop bifurcation in dynamical systems, where two fixed points (CSS) collide with a limit cycle (DSS) in phase space as the coupling constant tends to a critical value.
1550-7998
081501-[4pp]
Lechner, Christiane
190c4a42-66b8-4337-b4b7-3a59a90d8236
Thornburg, Jonathan
7164281d-b614-40e4-a27f-c89e874a7b9b
Husa, Sascha
ed077083-41a9-4ff3-b5b6-b48ee8802063
Aichelburg, Peter C.
5e720fa1-d55b-47fb-937c-b4a3ee35f0f1
Lechner, Christiane
190c4a42-66b8-4337-b4b7-3a59a90d8236
Thornburg, Jonathan
7164281d-b614-40e4-a27f-c89e874a7b9b
Husa, Sascha
ed077083-41a9-4ff3-b5b6-b48ee8802063
Aichelburg, Peter C.
5e720fa1-d55b-47fb-937c-b4a3ee35f0f1

Lechner, Christiane, Thornburg, Jonathan, Husa, Sascha and Aichelburg, Peter C. (2002) A new transition between discrete and continuous self-similarity in critical gravitational collapse. Physical Review D, 65 (8), 081501-[4pp]. (doi:10.1103/PhysRevD.65.081501).

Record type: Article

Abstract

We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) ? models. As the dimensionless coupling constant decreases, the critical solution changes from discretely self-similar (DSS) to continuously self-similar (CSS). Numerical results provide evidence for a bifurcation which is analogous to a heteroclinic loop bifurcation in dynamical systems, where two fixed points (CSS) collide with a limit cycle (DSS) in phase space as the coupling constant tends to a critical value.

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Published date: April 2002

Identifiers

Local EPrints ID: 45846
URI: http://eprints.soton.ac.uk/id/eprint/45846
ISSN: 1550-7998
PURE UUID: cd030c0e-55e8-4ffa-9c41-684a2aad4343

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Date deposited: 16 Apr 2007
Last modified: 27 Jun 2022 17:02

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Contributors

Author: Christiane Lechner
Author: Jonathan Thornburg
Author: Sascha Husa
Author: Peter C. Aichelburg

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