Critical phenomena and self-similarity in the gravitational collapse of radiation fluid
Abstract
We observe critical phenomena in spherical collapse of radiation fluid. A sequence of spacetimes S[η] is numerically computed, containing models (η<<1) that adiabatically disperse and models (η>>1) that form a black hole. Near the critical point (ηc), evolutions develop a self-similar region within which collapse is balanced by a strong, inward-moving rarefaction wave that holds m(r)/r constant as a function of a self-similar coordinate ξ. The self-similar solution is known and we show near-critical evolutions asymptotically approaching it. A critical exponent β~=0.36 is found for supercritical (η>ηc) models.
- Publication:
-
Physical Review Letters
- Pub Date:
- March 1994
- DOI:
- 10.1103/PhysRevLett.72.1782
- arXiv:
- arXiv:gr-qc/9402041
- Bibcode:
- 1994PhRvL..72.1782E
- Keywords:
-
- 04.25.Dm;
- 04.20.Dw;
- 04.40.Nr;
- 04.70.Bw;
- Numerical relativity;
- Singularities and cosmic censorship;
- Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields;
- Classical black holes;
- General Relativity and Quantum Cosmology
- E-Print:
- 10 pages (LaTeX) (to appear in Phys. Rev. Lett.), TAR-039-UNC