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Continuous Self-Similarity and $S$-Duality

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abstract

We study the spherically symmetric collapse of the axion/dilaton system coupled to gravity. We show numerically that the critical solution at the threshold of black hole formation is continuously self-similar. Numerical and analytical arguments both demonstrate that the mass scaling away from criticality has a critical exponent of $\gamma = 0.264$.

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 32 · 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.