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Journal Article

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

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Doulis,  Georgios
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rinne,  Oliver
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

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.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-0BB3-2
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.