Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field

Details Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field

1996-06-30

arxiv.org/abs/gr-qc/9606093v3

Phys.Rev.D55:3485-3496,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages and 13 figures, submitted to Physical Review D. Revised version with a corrected estimate of the charge critical expo

Scientific paper

10.1103/PhysRevD.55.3485

We summarize results from a study of spherically symmetric collapse of a {\it charged} (complex) massless scalar-field \cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing phenomena, originally discovered by Choptuik, for the {\it charged} case. Furthermore, we study the behaviour of the self-similar critical solution under {\it external} perturbations -- addition of a cosmological constant $\Lambda$ and a charge-conjugation $e$. Finally, we study the scaling-relation of the black-hole charge. Using an analytic argument we conjecture that black-holes of infinitesimal mass are neutral or obey the relation $Q_{BH} \ll M_{BH}$. We verify our predictions with numerical results.

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