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Phys. Rev. D 80, 084030 (2009) [7 pages]

Deriving the ADM 3+1 evolution equations from the second variation of arclength

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Leo Brewin
School of Mathematical Sciences, Monash University, Clayton, Victoria 3800, Australia

Received 22 May 2009; published 22 October 2009

We will show that the ADM 3+1 evolution equations, for a zero shift vector, arise naturally from the equations for the second variation of arclength.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.80.084030
DOI:
10.1103/PhysRevD.80.084030
PACS:
04.25.D−