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Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or antialigned spins

Hemberger, Daniel A. and Lovelace, Geoffrey and Loredo, Thomas J. and Kidder, Lawrence E. and Scheel, Mark A. and Szilágyi, Béla and Taylor, Nicholas W. and Teukolsky, Saul A. (2013) Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or antialigned spins. Physical Review D, 88 (6). Art. No. 064014. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20131007-103434116

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Abstract

The behavior of merging black holes (including the emitted gravitational waves and the properties of the remnant) can currently be computed only by numerical simulations. This paper introduces ten numerical relativity simulations of binary black holes with equal masses and equal spins aligned or antialigned with the orbital angular momentum. The initial spin magnitudes have |χ_i|≲0.95 and are more concentrated in the aligned direction because of the greater astrophysical interest of this case. We combine these data with five previously reported simulations of the same configuration, but with different spin magnitudes, including the highest spin simulated to date, χ_i≈0.97. This data set is sufficiently accurate to enable us to offer improved analytic fitting formulas for the final spin and for the energy radiated by gravitational waves as a function of initial spin. The improved fitting formulas can help to improve our understanding of the properties of binary black hole merger remnants and can be used to enhance future approximate waveforms for gravitational wave searches, such as effective-one-body waveforms.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.88.064014 DOIArticle
http://arxiv.org/abs/1305.5991arXivDiscussion Paper
ORCID:
AuthorORCID
Lovelace, Geoffrey0000-0002-7084-1070
Loredo, Thomas J.0000-0003-4692-4607
Kidder, Lawrence E.0000-0001-5392-7342
Teukolsky, Saul A.0000-0001-9765-4526
Alternate Title:Final spin and radiated energy in numerical simulations of binary black holes with equal masses and equal, aligned or anti-aligned spins
Additional Information:© 2013 American Physical Society. Received 28 May 2013; published 5 September 2013. We thank Matt Giesler, Tony Chu, and Bryant Garcia for providing data from their simulations. We gratefully acknowledge support from the Sherman Fairchild Foundation; from NSF Grants No. PHY-0969111 and No. PHY-1005426 at Cornell; and from NSF Grants No. PHY-1068881, No. PHY-1005655, and No. DMS- 1065438 at Caltech. The work of T. J. L. for this project was supported by NSF Grant No. AST-0908439 and NASA Grant No. NNX09AK60G. Simulations used in this work were computed with SpEC [32]. Computations were performed on SHC at Caltech, which is supported by the Sherman Fairchild Foundation; on the Zwicky cluster at Caltech, which is supported by the Sherman Fairchild Foundation and by NSF Award No. PHY-0960291; on the NSF XSEDE network under Grant No. TG-PHY990007N; and on the GPC supercomputer at the SciNet HPC Consortium [68]. SciNet is funded by the following: the Canada Foundation for Innovation under the auspices of Compute Canada, the Government of Ontario, Ontario Research Fund-Research Excellence, and the University of Toronto.
Group:TAPIR
Funders:
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
NSFPHY-0969111
NSFPHY-1005426
NSFPHY-1068881
NSFPHY-1005655
NSFDMS-1065438
NSFAST-0908439
NASANNX09AK60G
NSFPHY-0960291
NSFTG-PHY990007N
Canada Foundation for InnovationUNSPECIFIED
Government of OntarioUNSPECIFIED
Ontario Research Fund-Research ExcellenceUNSPECIFIED
University of TorontoUNSPECIFIED
Compute CanadaUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20131007-103434116
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20131007-103434116
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41706
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Oct 2013 18:45
Last Modified:09 Mar 2020 13:18

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