The Generalized Thin-Sandwich Problem and its Local Solvability
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
We consider Einstein Gravity coupled to dynamical matter consisting of a gauge field with any compact gauge group and minimally coupled scalar fields. We investigate the conditions under which a free specification of a spatial field configuration for the total system and its derivative with respect to coordinate-time determines a solution to the field equations (generalized thin-sandwich problem). Sufficient conditions for local solvability (in the space of fields) are established.
Keywords
Cite
@article{arxiv.gr-qc/9805065,
title = {The Generalized Thin-Sandwich Problem and its Local Solvability},
author = {Domenico Giulini},
journal= {arXiv preprint arXiv:gr-qc/9805065},
year = {2015}
}
Comments
18 pages, Plain TeX