“ Regularity Singularities ” and the Scattering of Gravity Waves in Approximate Locally Inertial Frames

Abstract. It is an open question whether solutions of the EinsteinEuler equations are smooth enough to admit locally inertial coordinates at points of shock wave interaction, or whether “regularity singularities” can exist at such points. The term regularity singularity was proposed by the authors as a point in spacetime where the gravitational metric… (More)