Einstein-fluid initial data

Abstract: 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. We focus on perfect fluids but also touch on extensions of these ideas to viscous models.

general relativity and quantum cosmologymathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

JoMaReC - Joint Online Mathematical Relativity Colloquium

Series comments: This monthly online colloquium is meant to be accessible to and informative for mathematicians and mathematical physicists with a background in General Relativity, widely interpreted to include Lorentzian Geometry, and Geometric Analysis of various Partial Differential Equations related to General Relativity.

It is aimed to present motivation and applications of particular results and/or introduce specific subfields, while refraining from too much technicalities.