On the spacetime intrinsic flat convergence

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

29 October 11:00 - 12:00

Anna Sakovich - Uppsala University

Spacetime intrinsic flat convergence is a low regularity notion of convergence in the Lorentzian setting defined as follows. First, a spacetime is converted into a metric space using the cosmological time function of Andersson, Galloway and Howard and the null distance of Sormani and Vega. For 'nice' spacetimes these metric spaces will have both integral current structure and causal structure, and their intrinsic flat limits can be defined. We will discuss how these ideas apply in the context of future maximal developments of initial data sets and outline some applications. This is work in progress with Christina Sormani.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


For practical matters at the Institute, send an e-mail to