Coordinate-dependent 3 + 1 formulation of the general relativity field equations

Details Coordinate-dependent 3 + 1 formulation of the general relativity field equations Coordinate-dependent 3 + 1 formulation of the general relativity field equations

Jul 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..647n&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 7, pp.647-653

Computer Science

3

Scientific paper

This paper presents a coordinate-dependent 3+ 1 decomposition of the general relativity field equations in terms of a scalar potentialψ≡c 2[(-g 44)1/2-1], a vector potentialA i≡cg 4i/(-g44)1/2, and the three-space metricγ ij≡g ij-g4i g 4j/g 44. The equations are exact and the form of the decomposed equations is valid in any coordinate system.

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