The Generalized Thin-Sandwich Problem and its Local Solvability

Details The Generalized Thin-Sandwich Problem and its Local Solvability The Generalized Thin-Sandwich Problem and its Local Solvability

1998-05-18

arxiv.org/abs/gr-qc/9805065v1

J.Math.Phys. 40 (1999) 2470-2482

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Plain TeX

Scientific paper

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.

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