Yakov Shlapentokh-Rothman (Princeton)

The APDE seminar on Monday, 05/18, will be given by Yakov Shlapentokh-Rothman online via Zoom from 4:10 to 5pm. To participate, email Georgios Moschidis (gmoschidis@berkeley.edu) or Thibault de Poyferré (tdepoyfe@math.berkeley.edu).

Title: Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution.

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