| 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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| Full Text: |
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