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High accuracy simulations of Kerr tails: coordinate dependence and higher multipoles

Tiglio, Manuel and Kidder, Lawrence E. and Teukolsky, Saul A. (2008) High accuracy simulations of Kerr tails: coordinate dependence and higher multipoles. Classical and Quantum Gravity, 25 (10). Art. No. 105022. ISSN 0264-9381. doi:10.1088/0264-9381/25/10/105022. https://resolver.caltech.edu/CaltechAUTHORS:20180606-131328537

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Abstract

We investigate the late-time behavior of a scalar field on a fixed Kerr background using a 2 + 1 dimensional pseudo-spectral evolution code. We compare evolutions of pure axisymmetric multipoles in both Kerr–Schild and Boyer–Lindquist coordinates. We find that the late-time power-law decay rate depends upon the slicing of the background, confirming previous theoretical predictions for those decay rates. The accuracy of the numerical evolutions is sufficient to decide unambiguously between competing claims in the literature.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/0264-9381/25/10/105022DOIArticle
https://arxiv.org/abs/0712.2472arXivDiscussion Paper
ORCID:
AuthorORCID
Kidder, Lawrence E.0000-0001-5392-7342
Teukolsky, Saul A.0000-0001-9765-4526
Additional Information:© 2018 IOP Publishing. Received 19 December 2007, in final form 31 March 2008. Published 7 May 2008. This research was supported in part by NSF grant PHY 0505761 to Louisiana State University, by a grant from the Sherman Fairchild Foundation to Cornell, and by NSF grants PHY-0652952, DMS-0553677, PHY-0652929 and NASA grant NNG05GG51G at Cornell. The research employed the resources of the CCT at LSU, which is supported by funding from the Louisiana legislature's Information Technology Initiative. MT would like to thank Enrique Pazos and Jorge Pullin for helpful discussions throughout this project and hospitality at Cornell University, where this work was done.
Funders:
Funding AgencyGrant Number
NSFPHY-0505761
Sherman Fairchild FoundationUNSPECIFIED
NSFPHY-0652952
NSFDMS-0553677
NSFPHY-0652929
NASANNG05GG51G
Issue or Number:10
Classification Code:PACS numbers: 04.25.D−, 04.30.Nk, 04.70.Bw, 02.70.Hm
DOI:10.1088/0264-9381/25/10/105022
Record Number:CaltechAUTHORS:20180606-131328537
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20180606-131328537
Official Citation:Manuel Tiglio et al 2008 Class. Quantum Grav. 25 105022
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:86849
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jun 2018 21:37
Last Modified:12 Jul 2022 19:50

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