Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published September 15, 2006 | public
Journal Article Open

Approximate initial data for binary black holes

Abstract

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the transverse-traceless decomposition and consider perturbations of Schwarzschild black holes caused by boosts and the presence of a binary companion. A superposition of these two perturbations then yields approximate, but fully analytic binary black hole initial data that are accurate to first order in the inverse of the binary separation and the square of the black holes' momenta.

Additional Information

©2006 The American Physical Society (Received 8 June 2006; published 13 September 2006) T.W.B. thanks the California Institute of Technology for hospitality while this paper was finished. H.P. gratefully acknowledges support from the Sherman Fairchild Foundation. The elliptic solver was developed jointly with Lawrence Kidder and Mark Scheel. This paper was supported in part by NSF Grant No. PHY-0456917 to Bowdoin College and NSF Grant No. PHY-0244906 to the California Institute of Technology.

Files

DENprd06.pdf
Files (363.5 kB)
Name Size Download all
md5:92d5ab7fe08beb9d463850fb3852ee4b
363.5 kB Preview Download

Additional details

Created:
August 22, 2023
Modified:
October 16, 2023