Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasiequilibrium?

Hannam, Mark ORCID: https://orcid.org/0000-0001-5571-325X, Evans, Charles, Cook, Gregory and Baumgarte, Thomas 2003. Can a combination of the conformal thin-sandwich and puncture methods yield binary black hole solutions in quasiequilibrium? Physical Review D 68 (6) , 064003. 10.1103/PhysRevD.68.064003

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Abstract

We consider combining two important methods for constructing quasiequilibrium initial data for binary black holes: the conformal thin-sandwich formalism and the puncture method. The former seeks to enforce stationarity in the conformal three-metric and the latter attempts to avoid internal boundaries, like minimal surfaces or apparent horizons. We show that these two methods make partially conflicting requirements on the boundary conditions that determine the time slices. In particular, it does not seem possible to construct slices that are quasistationary and that avoid physical singularities while simultaneously are connected by an everywhere positive lapse function, a condition which must be obtained if internal boundaries are to be avoided. Some relaxation of these conflicting requirements may yield a soluble system, but some of the advantages that were sought in combining these approaches will be lost.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	American Physical Society
ISSN:	0556-2821
Last Modified:	20 Oct 2022 08:23
URI:	https://orca.cardiff.ac.uk/id/eprint/28131

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