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Spherical symmetry as a test case for unconstrained hyperboloidal evolution

Vano-Vinuales, Alex, Husa, Sascha and Hilditch, David 2015. Spherical symmetry as a test case for unconstrained hyperboloidal evolution. Classical and Quantum Gravity 32 , 17.

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Abstract

We consider the hyperboloidal initial value problem for the Einstein equations in numerical relativity, motivated by the goal to evolve radiating compact objects such as black hole binaries with a numerical grid that includes null infinity. Unconstrained evolution schemes promise optimal efficiency, but are difficult to regularize at null infinity, where the compactified Einstein equations are formally singular. In this work we treat the spherically symmetric case, which already poses nontrivial problems and constitutes an important first step. We have carried out stable numerical evolutions with the generalized BSSN and Z4 equations coupled to a scalar field. The crucial ingredients have been to find an appropriate evolution equation for the lapse function and to adapt constraint damping terms to handle null infinity.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QC Physics
Publisher: Institute of Physics
ISSN: 0264-9381
Last Modified: 15 Mar 2019 15:09
URI: http://orca.cf.ac.uk/id/eprint/89444

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