Speaker
Description
We formulate a local geometric criterion for weak cosmic censorship in black hole overcharging/overspinning thought experiments.
Matter satisfying the null energy condition generically focuses the null generators of the initial Killing horizon and turns a horizon cross section into a closed trapped surface.
Thus, any candidate final spacetime that cannot accommodate this surface is ruled out.
Applying this trapped surface criterion to Reissner-Nordstrom, Reissner-Nordstrom-de Sitter, and Kerr-Newman spacetimes, we exclude the corresponding superextremal final states.
This recovers the conclusions of the Sorce-Wald formalism without using asymptotically defined conserved charges, and provides a local geometric obstruction to the formation of naked singularities.
The charge-independent nature of the criterion opens the way to applications in spacetimes where asymptotic charges are absent or where no extremality condition characterizes naked singularities.
| Research Area | Mathematical and Numerical Relativity |
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