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Critical Behaviour and Universality in Gravitational Collapse of a Charged Scalar Field
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abstract
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.
Forward citations
Cited by 2 Pith papers
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Unveiling horizons in quantum critical collapse
Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.
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Critical Phenomena in Gravitational Collapse
An authoritative review of critical collapse, updated with results on nonspherical vacuum collapse and rigorous PDE blowup.
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