Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution

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Yakov Shlapentokh-Rothman, Princeton University

We will start by recalling听the weak cosmic censorship conjecture.听听Then we will review听Christodoulou's construction of naked singularities for the spherically symmetric Einstein-scalar field system. Finally, we will听discuss recent joint work with Igor Rodnianski which constructs spacetimes corresponding to the exterior region of a naked singularity for the Einstein vacuum equations.