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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 2775.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
A New Tradition between Discrete and Contiuous Self-Similarity in Critical Gravitational Collapse
Authors:Lechner, Christiane; Thornburg, Jonathan; Husa, Sascha; Aichelburg, Peter C.
Language:English
Date of Publication (YYYY-MM-DD):2002
Title of Journal:Physical Review D
Volume:65
Sequence Number of Article:081501
Review Status:not specified
Audience:Not Specified
Abstract / Description:We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) sigma 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.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
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