A New Transition between Discrete and Continuous Self-Similarity in Critical Gravitational Collapse

Details 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

2001-12-07

arxiv.org/abs/gr-qc/0112008v1

Phys.Rev. D65 (2002) 081501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 5 figures, uses REVTeX

Scientific paper

10.1103/PhysRevD.65.081501

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.

Affiliated with

Also associated with

No associations

Rating

A New Transition between Discrete and Continuous Self-Similarity in Critical Gravitational Collapse does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Transition between Discrete and Continuous Self-Similarity in Critical Gravitational Collapse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Transition between Discrete and Continuous Self-Similarity in Critical Gravitational Collapse will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-325981