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Stationary hyperboloidal slicings with evolved gauge conditions

Ohme, Frank, Hannam, Mark ORCID:, Husa, Sascha and Murchadha, Niall Ó. 2009. Stationary hyperboloidal slicings with evolved gauge conditions. Classical and Quantum Gravity 26 (17) , 175014. 10.1088/0264-9381/26/17/175014

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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 trace of 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 (\mathscr 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 \mathscr I .

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QB Astronomy
Publisher: IOPscience
ISSN: 0264-9381
Last Modified: 20 Oct 2022 08:09

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