Abstract
By applying a parabolic–hyperbolic formulation of the constraints and superposing Kerr–Schild black holes, a simple method is introduced to initialize time evolution of binary systems. As the input parameters are essentially the same as those used in the post-Newtonian (PN) setup the proposed method interrelates various physical expressions applied in PN and in fully relativistic formulations. The global ADMcharges are also determined by the input parameters, and no use of boundary conditions in the strong field regime is made.
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Paper presented at the Third Zeldovich meeting, an international conference in honor of Ya.B. Zeldovich held in Minsk, Belarus on April 23–27, 2018. Published by the recommendation of the special editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.
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Rácz, I. A Simple Method of Constructing Binary Black Hole Initial Data. Astron. Rep. 62, 953–958 (2018). https://doi.org/10.1134/S1063772918120302
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DOI: https://doi.org/10.1134/S1063772918120302