Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-07-02
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
PhD thesis, University of Vienna, October 2001, 165 pages, many figures
Scientific paper
The main part of the thesis deals with continuously and discretely self-similar solutions and type II critical phenomena in a family of self-gravitating non-linear sigma-models. The phenomena strongly depend on the dimensionless coupling constant. For small couplings we numerically construct continuously self-similar (CSS) solutions and analyze their stability properties. For large couplings we construct a discretely self-similar (DSS) solution with one unstable mode. We argue that at some critical coupling the DSS solution bifurcates from the first CSS excitation in a heteroclinic loop bifurcation. We study critical phenomena between dispersal and singularity formation (at very small couplings) respectively black hole formation (for larger couplings). We give numerical evidence that for very small couplings the generic end state of ``intermediately strong'' data is the stable CSS ground state. For small couplings the critical solution is the first CSS excitation whereas for strong couplings the threshold of black hole formation is governed by the DSS solution. We describe the phenomena occurring at intermediate couplings where the critical solution changes from CSS to DSS. Content and references are at the state of October 2001.
No associations
LandOfFree
Staticity, Self-Similarity and Critical Phenomena in a Self-Gravitating Nonlinear Sigma Model 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 Staticity, Self-Similarity and Critical Phenomena in a Self-Gravitating Nonlinear Sigma Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Staticity, Self-Similarity and Critical Phenomena in a Self-Gravitating Nonlinear Sigma Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-497147