Stationary hyperboloidal slicings with evolved gauge conditions

We analyze stationary slicings of the Schwarzschild spacetime defined by members of the Bona-Massó 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 (I ) 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 I . PACS numbers: 04.20.Ex, 04.25.Dm, 04.30.Db, 95.30.Sf ar X iv :0 90 5. 04 50 v1 [ gr -q c] 4 M ay 2 00 9 Stationary hyperboloidal slicings with evolved gauge conditions 2