[Home]   [  News]   [  Events]   [  People]   [  Research]   [  Education]   [Visitor Info]   [UCSD Only]   [Admin]
Home > Events > CCoM > Abstract
Search this site:

Randolph E. Bank
Philip E. Gill
Michael Holst

Administrative Contact:
Terry Le

Office: AP&M 7431
Phone: (858)534-9813
Fax: (858)534-5273
E-mail: tele@ucsd.edu
Non-CMC Solutions to the Einstein Constraint Equations on Asymptotically Euclidean Manifolds

Caleb Meier


We consider the Einstein constraint equations on an n-dimensional, asymptotically Euclidean manifold M with boundary Σ. By leveraging both our own recent recent work as well as the work of some of our collaborators, we show that far-fromCMC and near-CMC solutions exist to the conformal formulation of the Einstein constraints when Robin-type marginally trapped surface boundary conditions are imposed to ensure that expansion scalars along null geodesics perpendicular to the boundary region Σ are non-positive. Therefore, assuming a suitable form of weak cosmic censorship, the results we develop in this article provide a method to construct initial data that will evolve into a space-time containing an arbitrary number of black holes. A particularly important feature of our results are the minimal restrictions we place on the mean curvature, giving both near- and far-from-CMC results that are new.

Tuesday, February 4, 2014
11:00AM AP&M 2402