Spacetime Extensions of the Big Bang

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

15 October 11:00 - 12:00

Eric Ling - KTH Royal Institute of Technology

In this talk we show that a large class of k = -1 inflationary FLRW spacetimes dubbed 'Milne-like' admit continuous spacetime extensions through the big bang. For these spacetimes the big bang is a coordinate singularity analogous to how the r = 2m event horizon in Schwarzschild is a coordinate singularity. The geometry of the big bang for Milne-like spacetimes is that of a lightcone in a spacetime conformal to Minkowski space where Lorentz invariance holds at the origin. We discuss how the mathematics of these spacetimes may help provide connections to certain problems in cosmology.
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


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