Charge scaling and universality in critical collapse

Details Charge scaling and universality in critical collapse Charge scaling and universality in critical collapse

1996-06-26

arxiv.org/abs/gr-qc/9606072v2

Phys.Rev. D54 (1996) 7353-7360

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 10 galley or 21 preprint pages. To be published in PRD. Reference to verification of charge exponent (Hod and Piran, g

Scientific paper

10.1103/PhysRevD.54.7353

Consider any 1-parameter family of initial data such that data with parameter value p > p* form black holes, and data with p < p* do not. As p -> p* from above ("critical collapse"), the black hole mass scales as M ~ (p-p*)^gamma, where the critical exponent gamma is the same for all such families of initial data. So far critical collapse has been investigated only for initial data with zero charge and zero angular momentum. Here we allow for U(1) charge. In scalar electrodynamics coupled to gravity, with action R + |(d + iqA) phi|^2 + F^2, we consider initial data with spherical symmetry and nonvanishing charge. From dimensional analysis and a previous calculation of Lyapunov exponents, we predict that in critical collapse the black hole mass scales as M ~ (p-p*)^gamma, and the black hole charge as Q ~ (p-p*)^delta, with gamma = 0.374 +- 0.001 (as for the real scalar field), and delta = 0.883 +- 0.007. We conjecture that, where there is no mass gap, this behavior generalizes to other charged matter models, with delta \ge 2 gamma. We suggest the existence of universality classes with respect to parameters such as q.

Affiliated with

Also associated with

No associations

Rating

Charge scaling and universality in critical 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 Charge scaling and universality in critical collapse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charge scaling and universality in critical collapse will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-246544