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  A New Tradition between Discrete and Contiuous Self-Similarity in Critical Gravitational Collapse

Lechner, C., Thornburg, J., Husa, S., & Aichelburg, P. C. (2002). A New Tradition between Discrete and Contiuous Self-Similarity in Critical Gravitational Collapse. Physical Review D, 65: 081501.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-541E-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5420-8
Genre: Journal Article

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 Creators:
Lechner, Christiane1, Author
Thornburg, Jonathan1, Author
Husa, Sascha2, Author           
Aichelburg, Peter C., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: 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.

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Language(s): eng - English
 Dates: 2002
 Publication Status: Issued
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 Identifiers: eDoc: 2775
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 65 Sequence Number: 081501 Start / End Page: - Identifier: -