The Einstein-scalar field constraints on asymptotically Euclidean manifolds
General Relativity and Quantum Cosmology
2007-05-23 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.gr-qc/0506101,
title = {The Einstein-scalar field constraints on asymptotically Euclidean manifolds},
author = {Yvonne Choquet-Bruhat and James Isenberg and Daniel Pollack},
journal= {arXiv preprint arXiv:gr-qc/0506101},
year = {2007}
}
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31 pages