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Room P3.10, Mathematics Building

Flavio Rossetti, Instituto Superior Técnico

The entire universe in one flash: on the stability of the Cauchy horizon for cosmological black holes in spherical symmetry

We discuss the problem of global uniqueness for the Einstein equations with a positive cosmological constant. After reviewing the modern formulations of strong cosmic censorship (SCCC), we prove a stability result suggesting a potential failure of SCCC in the spherically symmetric framework. In particular, we study the characteristic initial value problem (IVP) for the spherically symmetric Einstein-Maxwell-charged-