PIRSA:12050058

The Conformal Method and Solutions of the Einstein Constraint Equations: A Status Report

Isenberg, J. (2012). The Conformal Method and Solutions of the Einstein Constraint Equations: A Status Report. Perimeter Institute. https://pirsa.org/12050058

Isenberg, James. The Conformal Method and Solutions of the Einstein Constraint Equations: A Status Report. Perimeter Institute, May. 11, 2012, https://pirsa.org/12050058 

          @misc{ pirsa_PIRSA:12050058,
            doi = {10.48660/12050058},
            url = {https://pirsa.org/12050058},
            author = {Isenberg, James},
            keywords = {},
            language = {en},
            title = {The Conformal Method and Solutions of the Einstein Constraint Equations: A Status Report},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050058 see, \url{https://pirsa.org}}
          }

James Isenberg University of Oregon

DOI 10.48660/12050058
Collection
Talk Type Conference

Abstract

The Conformal Method (as well as the closely related Conformal Thin Sandwich Method) has proven to be a very useful procedure both for constructing and for parametrizing solutions of the Einstein initial data constraint equations, for initial data sets with constant mean curvature (CMC). Is this true for non CMC data sets as well? After reviewing the CMC results, we discuss what we know and don't know about non CMC initial data sets and the effectiveness of the Conformal Method in handling them.