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. © 2003 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review D - Particles, Fields, Gravitation and Cosmology
Tichy, W., Brügmann, B., Campanelli, M., & Diener, P. (2003). Binary black hole initial data for numerical general relativity based on post-Newtonian data. Physical Review D - Particles, Fields, Gravitation and Cosmology, 67 (6) https://doi.org/10.1103/PhysRevD.67.064008