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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.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

representative citing papers

Unveiling horizons in quantum critical collapse

gr-qc · 2025-09-03 · unverdicted · novelty 6.0 · 2 refs

Semiclassical one-loop analysis of solvable near-critical collapse solutions shows quantum corrections selecting a Boulware-like state and producing a growing mode that yields a finite mass gap and a transition to Type I behavior, enforcing weak cosmic censorship.

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  • Unveiling horizons in quantum critical collapse gr-qc · 2025-09-03 · unverdicted · none · ref 36 · 2 links · internal anchor

    Semiclassical one-loop analysis of solvable near-critical collapse solutions shows quantum corrections selecting a Boulware-like state and producing a growing mode that yields a finite mass gap and a transition to Type I behavior, enforcing weak cosmic censorship.