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

Leo Brewin
Phys. Rev. D 80, 084030 – Published 22 October 2009

Abstract

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.

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  • Received 22 May 2009

DOI:https://doi.org/10.1103/PhysRevD.80.084030

©2009 American Physical Society

Authors & Affiliations

Leo Brewin

  • School of Mathematical Sciences, Monash University, Clayton, Victoria 3800, Australia

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Issue

Vol. 80, Iss. 8 — 15 October 2009

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