A hyperbolic slicing condition adapted to Killing fields and densitized lapses

Details A hyperbolic slicing condition adapted to Killing fields and densitized lapses A hyperbolic slicing condition adapted to Killing fields and densitized lapses

2003-03-18

arxiv.org/abs/gr-qc/0303069v2

Class.Quant.Grav. 20 (2003) 3951-3968

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1088/0264-9381/20/18/308

We study the properties of a modified version of the Bona-Masso family of hyperbolic slicing conditions. This modified slicing condition has two very important features: In the first place, it guarantees that if a spacetime is static or stationary, and one starts the evolution in a coordinate system in which the metric coefficients are already time independent, then they will remain time independent during the subsequent evolution, {\em i.e.} the lapse will not evolve and will therefore not drive the time lines away from the Killing direction. Second, the modified condition is naturally adapted to the use of a densitized lapse as a fundamental variable, which in turn makes it a good candidate for a dynamic slicing condition that can be used in conjunction with some recently proposed hyperbolic reformulations of the Einstein evolution equations.

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