Gravitational potentials: A constructive approach to general relativity

Details Gravitational potentials: A constructive approach to general relativity Gravitational potentials: A constructive approach to general relativity

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..257m&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 3, pp.257-261

Physics

9

Scientific paper

Recent investigations of the initial-value problem of general relativity have shown that the initial-value constraints can be formulated in all cases as a system of elliptic equations with well-defined physical and mathematical properties. The solutions of these equations can be regarded as generalized gravitational potentials. These potentials are interrelated and depend on their sources quasilinearly. They are particularly useful in analyzing asymptotically flat solutions of Einstein's equations. We have found from these results (1) a technique for constructing physically meaningful initial data in the integration of Einstein's equations, and (2) a method for characterization and analysis of the spacelike mass, momentum, angular momemtum, and multipole moments of gravitational fields.

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