The Einstein-scalar field constraints on asymptotically Euclidean manifolds

Authors :: Yvonne Choquet-Bruhat
Daniel Pollack
James Isenberg
Publication Year :: 2005
Publisher :: arXiv, 2005.
Abstract: We use the conformal method to obtain solutions of the Einstein-scalar field gravitational constraint equations. Handling scalar fields is a bit more challenging than handling matter fields such as fluids, Maxwell fields or Yang-Mills fields, because the scalar field introduces three extra terms into the Lichnerowicz equation, rather than just one. Our proofs are constructive and allow for arbitrary dimension (>2) as well as low regularity initial data.<br />31 pages