Weakly regular spacetimes with T2 symmetry

general relativity
Analyse asymptotique
spacetimes
asymptotic analysis
symmetry
relativité générale
Grenoble
[MATH]Mathematics [math]
summer school 2014
eem2014
école d’été 2014

Appears in collection : Summer School 2014 - Asymptotic Analysis in General Relativity

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.