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

Details Deriving the ADM 3+1 evolution equations from the second variation of arc length Deriving the ADM 3+1 evolution equations from the second variation of arc length

2009-03-31

arxiv.org/abs/0903.5365v1

Phys.Rev.D80:084030,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1103/PhysRevD.80.084030

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 arc-length.

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