Almost-stationary motions and gauge conditions in General Relativity

Details Almost-stationary motions and gauge conditions in General Relativity Almost-stationary motions and gauge conditions in General Relativity

2005-09-05

arxiv.org/abs/gr-qc/0509015v2

Phys.Rev. D72 (2005) 124010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Talk presented at the Spanish Relativity Meeting, September 6-10 2005 Revised version

Scientific paper

10.1103/PhysRevD.72.124010

An almost-stationary gauge condition is proposed with a view to Numerical Relativity applications. The time lines are defined as the integral curves of the timelike solutions of the harmonic almost-Killing equation. This vector equation is derived by a variational principle, by minimizing the deviations from isometry. The corresponding almost-stationary gauge condition allows one to put the field equations in hyperbolic form, both in the free-evolution ADM and in the Z4 formalisms.

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