RICCI DEFECTS OF MICROLOCALIZED EINSTEIN METRICS

Abstract

This is the third and last in our series of papers concerning rough solutions of the Einstein vacuum equations expressed relative to wave coordinates. In this paper we prove an important result, concerning Ricci defects of microlocalized solutions, stated and used in the proof of the crucial Asymptotics Theorem in [1]. The result is of independent interest in situations when one has to smooth out the given spacetime metric in order to achieve good causality properties.

Locations

• Journal of Hyperbolic Differential Equations - View
• arXiv (Cornell University) - View - PDF