Presented By: Differential Equations Seminar - Department of Mathematics
Differential Equations Seminar: Einstein-Perfect Fluid Initial Data in General Relativity
David Maxwell, University of Alaska, Fairbanks
Fluids are a standard matter source for gravitation, going back to the early days of general relativity. Nevertheless, constructing initial data for this family of matter models is surprisingly nuanced. In this talk we describe a novel approach to building Einstein-fluid initial data based on a recently established phase-space technique for constructing non-vacuum initial data sets. Compared to prior approaches to working with fluids, the input parameters allow for more direct specification of physical quantities, such as the number of particles in any given region.