Session S19 - Geometric and Analytic Aspects of General Relativity

Thursday, July 15, 18:00 ~ 19:00 UTC-3

Brill-Lindquist-Riemann sums and their limits

Iva Stavrov

Lewis & Clark College, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we introduce discretized, point-source, relativistic initial data, called Brill-Lindquist-Riemann sums, and examine their convergence towards a charged dust continuum. We are motivated by the interpretation of Brill-Lindquist-Riemann sums as collections of relatively isolated astrophysical bodies such as stars and galaxies in the universe, and the interpretation of the dust continuum as the universe itself. We present the existence and the uniqueness results for horizons/minimal surfaces of Brill-Lindquist metrics in the vicinity of the point-sources ("stars"). We also study the geometries of the regions exterior to said minimal surfaces, and discuss their Gromov-Hausdorff and intrinsic flat limits.

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