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

Georgios Doulis, Oliver Rinne
2016 Classical and quantum gravity  
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.
more » ... numerical results. We also investigate the dependence of the total ADM mass on the details of the gluing construction.
doi:10.1088/0264-9381/33/7/075014 fatcat:dhgfvr5rr5cn7iudodkd7znok4