Stationary hyperboloidal slicings with evolved gauge conditions

Details Stationary hyperboloidal slicings with evolved gauge conditions Stationary hyperboloidal slicings with evolved gauge conditions

2009-05-04

arxiv.org/abs/0905.0450v2

2009 Class. Quantum Grav. 26 175014

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 11 figures, LaTeX; minor changes for the published version

Scientific paper

10.1088/0264-9381/26/17/175014

We analyze stationary slicings of the Schwarzschild spacetime defined by members of the Bona-Masso family of slicing conditions. Our main focus is on the influence of a non-vanishing offset to the extrinsic curvature, which forbids the existence of standard Cauchy foliations but at the same time allows gauge choices that are adapted to include null infinity (scri) in the evolution. These hyperboloidal slicings are especially interesting for observing outgoing gravitational waves. We show that the standard 1+log slicing condition admits no overall regular hyperboloidal slicing, but by appropriately combining with harmonic slicing, we construct a gauge condition that leads to a strongly singularity-avoiding hyperboloidal foliation that connects the black hole to scri.

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