Numerical Brill-Lindquist initial data with a Schwarzschildean end at spatial 
infinity

Doulis, Georgios; Rinne, Oliver

doi:10.1088/1742-6596/600/1/012039

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Numerical Brill-Lindquist initial data with a Schwarzschildean end at spatial 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. (2015). Numerical Brill-Lindquist initial data with a Schwarzschildean end at spatial infinity. Journal of Physics: Conference Series, 600: 012039.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0024-7653-9

Abstract

We construct numerically time-symmetric initial data that are
Schwarzschildean at spatial infinity and Brill-Lindquist in the interior. The
transition between these two data sets takes place along a finite gluing region
equipped with an axisymmetric Brill wave metric. The construction is based on
an application of Corvino's gluing method using Brill waves due to Giulini and
Holzegel. Here, we use a gluing function that includes a simple angular
dependence. We also investigate the dependence of the ADM mass of our
construction on the details of the gluing procedure.