Numerical solutions reveal that the threshold of black hole formation in charged Vlasov matter shifts from stationary horizonless shells to extremal black holes past a critical charge-to-mass ratio of unity.
Self-similar spherically symmetric solutions of the massless Einstein-Vlasov system
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abstract
We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a curvature singularity by construction, and their initial data on a Cauchy surface to the past of the singularity can be chosen to have compact support in momentum space. They can also be truncated at large radius so that they have compact support in space, while retaining self-similarity in a central region that includes the singularity. However, the Vlasov distribution function can not be bounded. As a simpler illustration of our techniques and notation we also construct the general spherically symmetric and static solution, for both massive and massless particles.
fields
gr-qc 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
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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Gravitational collapse in the vicinity of the extremal black hole critical point
Numerical solutions reveal that the threshold of black hole formation in charged Vlasov matter shifts from stationary horizonless shells to extremal black holes past a critical charge-to-mass ratio of unity.
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Unveiling horizons in quantum critical collapse
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.