CMC foliations and Apparent Horizons in Cauchy data for Einstein Equations

Workshop on Geometric Functionals: Analysis and Applications
Topic:CMC foliations and Apparent Horizons in Cauchy data for Einstein Equations
Speaker:Claudio Arezzo
Affiliation:Università degli Studi di Parma
Date:Monday, March 4
Time/Room:4:00pm - 5:00pm/Simonyi Hall 101

Abstract: We first review the existence theory of CMC foliations on complete manifolds asymptotic to “standard models”. We will then show how to use some new extension of this theory to  adapt a classical construction  described by S.Wolpert in Teichmuller Theory, to construct new examples of Cauchy data for the Einstein Constraint Equations and an arbitrary number of apparent horizons with nontrivial topology. Joint work with L. Mazzieri and S. Lancini.