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Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions

Vano-Vinuales, Alex and Husa, Sascha 2018. Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions. Classical and Quantum Gravity 35 (4) , 045014. 10.1088/1361-6382/aaa4e2

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Abstract

We present numerical solutions of the hyperboloidal initial value problem for a self-gravitating scalar field in spherical symmetry, using a variety of standard hyperbolic slicing and shift conditions that we adapt to our hyperboloidal setup. We work in the framework of conformal compactification, and study both evolutions that employ the preferred conformal gauge, which simplifies the formal singularities of our equations at null infinity, and evolutions without this simplification. In previous work we have used a staggered grid, which excludes null infinity, while now we include the option of placing a gridpoint directly at null infinity.We use both the generalized BSSN and conformal Z4 formulations of the Einstein equations, study the effect of different gauge conditions, and show that robust evolutions are possible for a range of choices.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Physics and Astronomy
Publisher: IOP Publishing
ISSN: 0264-9381
Funders: European Research Council, Ministerio de Ciencia e Innovacion, Conselleria dâ Economia i Competitivitat of the Govern de les Illes Balears, Science and Technology Facilities Council, Ministerio de Econom­a y Competitividad.
Date of First Compliant Deposit: 17 January 2018
Date of Acceptance: 3 January 2018
Last Modified: 03 Jan 2019 02:30
URI: http://orca.cf.ac.uk/id/eprint/108227

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