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  Numerical construction of initial data for Einstein's equations with static extension to space-like infinity

Doulis, G., & Rinne, O. (2016). Numerical construction of initial data for Einstein's equations with static extension to space-like infinity. Classical and Quantum Gravity, 33(7): 075014. doi:10.1088/0264-9381/33/7/075014.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002A-0BB3-2 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E9D0-C
Genre: Journal Article

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1411.7878.pdf (Preprint), 969KB
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 Creators:
Doulis, Georgios1, Author              
Rinne, Oliver1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We describe a numerical method to construct Cauchy data extending to space-like infinity based on Corvino's (2000) gluing method. Adopting the setting of Giulini and Holzegel (2005), we restrict ourselves here to vacuum axisymmetric spacetimes and glue a Schwarzschildean end to Brill-Lindquist data describing two non-rotating black holes. Our numerical implementation is based on pseudo-spectral methods, and we carry out extensive convergence tests to check the validity of our numerical results. We also investigate the dependence of the total ADM mass on the details of the gluing construction.

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 Dates: 2014-11-282015-11-2520162016
 Publication Status: Published in print
 Pages: 20 pages, 13 figures. A flaw in the numerical algorithm implementing the boundary conditions on the axis of symmetry has been fixed and the numerical results have been updated
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 Identifiers: arXiv: 1411.7878
DOI: 10.1088/0264-9381/33/7/075014
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 33 (7) Sequence Number: 075014 Start / End Page: - Identifier: -