Critical gravitational collapse with angular momentum: from critical exponents to universal scaling functions
arXiv:gr-qc/0110049 · doi:10.1103/PhysRevD.65.064019
Abstract
We investigate the threshold of gravitational collapse with angular momentum, under the assumption that the critical solution is spherical and self-similar and has two growing modes, namely one spherical mode and one axial dipole mode (threefold degenerate). This assumption holds for perfect fluid matter with the equation of state p=kappa rho if the constant kappa is in the range 0<kappa<1/9. There is a region in the space of initial data where the mass and angular momentum of the black hole created in the collapse are given in terms of the initial data by two universal critical exponents and two universal functions of one argument. These expressions are similar to those for the correlation length and the magnetization in a ferromagnet near its critical point, as a function of the temperature and the external magnetic field. We discuss qualitative features of the scaling functions, and hence of critical collapse with high angular momentum.
RevTex, 14 pages, 5 eps figures
References in corpus (6)
- Gauge-invariant and coordinate-independent perturbations of stellar collapse I: the interior
- Critical phenomena in perfect fluids
- Ultrarelativistic fluid dynamics
- Symmetry-seeking spacetime coordinates
- Critical gravitational collapse of a perfect fluid: nonspherical perturbations
- Angular momentum near the black hole threshold in scalar field collapse
Cited by in corpus (9)
- Critical phenomena in gravitational collapse
- Critical phenomena in gravitational collapse (Physics Reports)
- Spin Distribution of Primordial Black Holes
- Critical gravitational collapse of a perfect fluid: nonspherical perturbations
- Critical gravitational collapse with angular momentum II: soft equations of state
- Critical gravitational collapse with angular momentum
- Instability of black hole formation under small pressure perturbations
- Critical collapse of ultra-relativistic fluids: damping or growth of aspherical deformations
- Universality of the subsolar mass distribution from critical gravitational collapse