Coordinate-dependent 3 + 1 formulation of the general relativity field equations |
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Authors: | Robert A Nelson |
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Institution: | (1) Department of Physics and Astronomy, University of Maryland, 20742 College Park, Maryland |
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Abstract: | This paper presents a coordinate-dependent 3+ 1 decomposition of the general relativity field equations in terms of a scalar potential![psgr](/content/w0w446m06x325vn7/xxlarge968.gif) c
2(–g
44)1/2–1], a vector potentialA
i cg
4i/(–g44)1/2, and the three-space metric
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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Keywords: | |
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