Limits equations arising in the vacuum Einstein constraint equations using the conformal method
In this seminar, we deal with the Einstein problem in general relativity, treating in particular the vacuum case. Using a trick developed by Choquet-Bruhat and Lichnerowicz - the well known "conformal method" - one can write the vacuum Einstein equations as a couple of differential equations, called constraint equations: a Yamabe-like scalar equation with a nonlinearity term, and a vector equation coupled to the first. In an article written in 2011 by Gicquaud, Humbert, Dahl it is proven a theorem which states that either the constraint equations admit solutions or another differential equation, a limit one admits a non-trivial solution. Our aim is to present this problem, explain the main ideas and present an attempt to prove non-existence theorems for the limit equations based on a fine analysis of the proof made article. http://cvgmt.sns.it/seminar/530/
When
Wed May 11, 2016 1:30pm – 2:30pm Coordinated Universal Time
Where
sala seminari, dipartimento di matematica di Pisa (map)
