Three dimensional distorted black holes: using the Galerkin-Collocation method

Abstract

We present an implementation of the Galerkin-Collocation method to determine the initial data for non-rotating distorted three dimensional black holes in the inversion and puncture schemes. The numerical method combines the key features of the Galerkin and Collocation methods which produces accurate initial data. We evaluated the ADM mass of the initial data sets, and we have provided the angular structure of the gravitational wave distribution at the initial hypersurface by evaluating the scalar ${\Psi }_4$ for asymptotic observers.

11 pages, 9 figures

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Cited by in corpus (3)

• Nonlinear evolution of cylindrical gravitational waves: numerical method and physical aspects
• Multidomain Galerkin-Collocation method: characteristic spherical collapse of scalar fields
• Multidomain Galerkin-Collocation method: spherical collapse of scalar fields II