Conformal thin-sandwich solver for generic initial data

William E. East, Fethi M. Ramazanoǧlu, Frans Pretorius

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

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.

Original languageEnglish (US)
Article number104053
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume86
Issue number10
DOIs
StatePublished - Nov 27 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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