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Published June 7, 2009 | public
Journal Article

Reducing spurious gravitational radiation in binary-black-hole simulations by using conformally curved initial data

Abstract

At early times in numerical evolutions of binary black holes, current simulations contain an initial burst of spurious gravitational radiation (also called 'junk radiation') which is not astrophysically realistic. The spurious radiation is a consequence of how the binary-black-hole initial data are constructed: the initial data are typically assumed to be conformally flat. In this paper, I adopt a curved conformal metric that is a superposition of two boosted, non-spinning black holes that are approximately 15 orbits from merger. I compare junk radiation of the superposed-boosted-Schwarzschild (SBS) initial data with the junk of corresponding conformally flat, maximally sliced (CFMS) initial data. The SBS junk is smaller in amplitude than the CFMS junk, with the junk's leading-order spectral modes typically being reduced by a factor of order 2 or more.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 2009. Received 2 December 2008, in final form 11 February 2009. Published 19 May 2009. Print publication: Issue 11 (7 June 2009). I ampleased to acknowledge Lee Lindblom formany helpful discussions and for suggesting the project described in this paper, Harald Pfeiffer for many helpful discussions and comments on this manuscript, and Lawrence Kidder, Ilya Mandel, Niall Ó Murchadha, Robert Owen, Mark Scheel and Kip Thorne for helpful discussions. The numerical simulations presented in this paper were done with the Spectral Einstein Code (SpEC) developed principally by Lawrence Kidder,Harald Pfeiffer and Mark Scheel. The numerical solution of equation (23) was obtained using code written by Gregory Cook. This work was supported in part by grants from the Sherman Fairchild Foundation to Caltech and Cornell and from the Brinson Foundation to Caltech; by NSF Grants No PHY-0652952, No DMS-0553677 and No PHY-0652929 and NASA Grant No NNG05GG51G at Cornell; and by NSF Grants No PHY-0601459, No PHY-0652995, and No DMS-0553302 and NASA Grant No NNG05GG52G at Caltech.

Additional details

Created:
August 20, 2023
Modified:
October 19, 2023