PGI Virtual Seminar Series | Jonathan Wing-hong Luk, “Some singular spacetimes in general relativity”

Abstract: I will describe a few classes of solutions to the Einstein equations whose metrics are singular or highly oscillatory, and discuss the relation between them. The singular solutions include as special examples impulsive gravitational waves and null dust shell solutions. In particular, I will present a mathematical theory, obtained in collaboration with Igor Rodnianski, for the initial value problem describing the propagation and interaction of impulsive gravitational waves, null dust shells, and other singular structures.