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Published September 5, 2013 | Submitted + Published
Journal Article Open

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

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.

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.

Attached Files

Published - PhysRevD.88.064014.pdf

Submitted - 1305.5991v2.pdf

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Additional details

Created:
August 19, 2023
Modified:
October 25, 2023