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The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold

组织者

拉尔斯·安德森 , 亚历杭德罗·托雷斯-奥韦拉 , 张笑然

演讲者

扬尼斯·安耶洛普洛斯

时间

2025年11月07日 16:30 至 17:30

地点

A3-2-301

线上

Zoom 787 662 9899 (BIMSA)

摘要

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).