Deriving the ADM 3+1 evolution equations from the second variation of arc length
arXiv:0903.5365 · doi:10.1103/PhysRevD.80.084030
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 arc-length.
corrected small typos, results unchanged
References in corpus (2)
Cited by in corpus (4)
- An Einstein-Bianchi system for Smooth Lattice General Relativity. I. The Schwarzschild spacetime
- A Smooth Lattice construction of the Oppenheimer-Snyder spacetime
- An Einstein-Bianchi system for Smooth Lattice General Relativity. II. 3+1 vacuum spacetimes
- Evolutions of Gowdy, Brill and Teukolsky initial data on a smooth lattice