Geometry Seminar: J. Sbierski (Edinburgh)

Geometry Seminar (Geometric Analysis)

Speaker: Jan Sbierski (Edinburgh)

Title: The C^0-inextendibility of a class of FLRW spacetimes.

Abstract: A Lorentzian manifold is said to be C^0-inextendible if there does not exist an isometric embedding into a bigger Lorentzian manifold of the same dimension with a continuous metric. I discuss recent work establishing the C^0-inextendibility of FLRW spacetimes without particle horizons in the case of positive spatial sectional curvature and, with some additional assumptions on the scale factor, in the case of negative spatial sectional curvature. Such inextendibility statements provide a classification for the strength of gravitational singularities in general relativity.