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The Generalized Thin-Sandwich Problem and its Local Solvability

Domenico Giulini
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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.

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Domenico Giulini. 1998-05-18. The Generalized Thin-Sandwich Problem and its Local Solvability. https://doi.org/10.1063/1.532877

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