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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.
