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arXiv · 1208.3473

Conformal Thin-Sandwich Solver for Generic Initial Data

William E. East·Fethi M. Ramazanoğlu·Frans Pretorius
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Abstract

We present a new scheme for constructing initial data for the Einstein field equations using the conformal thin-sandwich formulation that does not assume conformal flatness or approximate Killing vectors. This includes a method for determining free data based on superposition, as well as a way to handle black hole singularities without excision. We numerically solve the constraint equations using a multigrid algorithm with mesh refinement. We demonstrate the efficacy of the method with initial data solutions for several applications: a quasicircular binary black hole merger, a dynamical capture black hole-neutron star merger, and an ultrarelativistic collision.

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William E. East, Fethi M. Ramazanoğlu, Frans Pretorius. 2012-11-06. Conformal Thin-Sandwich Solver for Generic Initial Data. https://doi.org/10.1103/physrevd.86.104053

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