Philippe G LeFloch - Weakly regular spacetimes with T2 symmetry

Philippe G. LeFloch (1) , Fanny Bastien (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 IF - Institut Fourier

I will discuss the initial value problem for the Einstein equations and present results concerning the existence and asymptotic behavior of spacetimes, when the initial data set is assumed to be T2 symmetric and satisfies weak regularity conditions so that the spacetimes may exhibit impulsive gravitational waves and shock waves. This lecture is based on papers written over the period 2004—2014 and available at philippelefloch.org.

Mots clés: summer school 2014; asymptotic analysis; general relativity; spacetimes; symmetry

Mots clés: eem2014; école d’été 2014; grenoble; analyse asymptotique; relativité générale

Domaines: Mathématiques [math]

Philippe G. LeFloch, Fanny Bastien. Philippe G LeFloch - Weakly regular spacetimes with T2 symmetry : Summer School 2014 - Asymptotic analysis in general relativity . 2014. ⟨medihal-01319056⟩