|Workshop on Geometric Functionals: Analysis and Applications|
|Topic:||CMC foliations and Apparent Horizons in Cauchy data for Einstein Equations|
|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.