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BIMSA General Relativity Seminar
The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold
The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold
Organizers
Speaker
Time
Friday, November 7, 2025 4:30 PM - 5:30 PM
Venue
A3-2-301
Online
Zoom 787 662 9899
(BIMSA)
Abstract
We consider the moduli space of spherically symmetric solutions to the Einstein-Maxwell-real scalar field system of equations. It is known that in this moduli space, the spacetimes formed either contain black hole regions, or are free of singularities. Under appropriate assumptions of smallness for the scalar field, we show that the black hole spacetimes admit a C^1 foliation by hypersurfaces of fixed final charge-to-mass ratio, while the hypersurface that corresponds to extremality is the mutual boundary between the black hole spacetimes and the spacetimes that are free of singularities. This is joint work with Christoph Kehle (MIT) and Ryan Unger (UC Berkeley).