THE GAUSS-CODACCI EQUATION ON A REGGE SPACETIME .2.

被引:1
作者
BREWIN, L
机构
[1] Dept. of Math., Monash Univ., Clayton, Vic.
关键词
D O I
10.1088/0264-9381/10/5/012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A geometric expression for the Gauss-Codacci equation on a simplicial (Regge) spacetime will be presented. It will be derived by arguing that the operator associated with the parallel transportation of a vector around a timelike bone may also be de-composed into a product of operators associated with the Cauchy surface and its embedding in the spacetime. It will then be shown that this result is, for a class of weak simplicial spacetimes, term-by-term equivalent with the usual continuum version of the contracted Gauss-Codacci equation. This leads, for this class of weak simplicial spacetimes, to a simple relationship between the 4-defect, 3-defect and the extrinsic curvature terms.
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页码:947 / 960
页数:14
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