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gr-qc2026
The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
In this paper, we give a complete description of the black hole threshold, locally near the Reissner-Nordström family, in the infinite-dimensional moduli space of dy…
gr-qc2026
Nonlinear stability of extremal Reissner-Nordström black holes in spherical symmetry
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordström family of black holes in the spherically symmetric Einstein-Maxwell-n…
gr-qc2024
Extremal black hole formation as a critical phenomenon
Christoph Kehle, Ryan Unger
In this paper, we prove that extremal black holes arise on the threshold of gravitational collapse. More precisely, we construct smooth one-parameter families of smooth, sphericall…