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A continuous matter distribution arising as an intrinsic flat limit of point particle configurations

Banff International Research Station for Mathematical Innovation and Discovery

In the Newtonian setting the gravitational potential describing a continuous matter distribution can be obtained by integrating gravitational potentials describing point particles. In the relativistic setting point particles can be described by means of Schwarzschild initial data. It is thus plausible that some kind of a limit of a sequence of point particle configurations (such as the configurations considered by Brill and Lindquist) can be taken in order to obtain initial data for relativistic matter models. My talk will demonstrate that such a strategy works in the case of relativistic time-symmetric dust initial data. The crucial step consists of employing the intrinsic flat limit developed by C. Sormani and S. Wenger. The talk is based on a collaboration with C. Sormani.

Mathematics; Relativity and gravitational theory; Differential geometry

video/mp4

Author affiliation: Lewis & Clark College

2017-02-05

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/60380

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/