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Binary black hole initial data for numerical general relativity based on post-Newtonian data

W. Tichy·B. Bruegmann·M. Campanelli·P. Diener
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Abstract

With the goal of taking a step toward the construction of astrophysically realistic initial data for numerical simulations of black holes, we for the first time derive a family of fully general relativistic initial data based on post-2-Newtonian expansions of the 3-metric and extrinsic curvature without spin. It is expected that such initial data provide a direct connection with the early inspiral phase of the binary system. We discuss a straightforward numerical implementation, which is based on a generalized puncture method. Furthermore, we suggest a method to address some of the inherent ambiguity in mapping post-Newtonian data onto a solution of the general relativistic constraints.

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W. Tichy, B. Bruegmann, M. Campanelli, P. Diener. 2002-07-02. Binary black hole initial data for numerical general relativity based on post-Newtonian data. https://doi.org/10.1103/physrevd.67.064008

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