Scalar Curvature Seminar

I will describe my recent works, some joint with M.\,Disconzi and J.\,Luk, on the compressible Euler equations and their relativistic analog. The works concern solutions with non-vanishing vorticity and entropy, under any equation of state. The...

We consider analytic, vacuum spacetimes that admit compact, non-degenerate Cauchy horizons. Many years ago Vince Moncrief and I proved that, if the null geodesic generators of such a horizon were all closed curves, then the enveloping spacetime...

We formulate a conjecture for the almost rigidity statement associated with the spacetime version of the positive mass theorem, and give examples to show how it is basically sharp if true. Furthermore we establish the conjecture under the assumption...