2007

Estimating the final spin of a binary black hole coalescence

Buonanno, Alessandra, Kidder, Lawrence E., Lehner, Luis

Understand

We present a straightforward approach for estimating the final black hole spin of a binary black hole coalescence with arbitrary initial masses and spins.

Making some simple assumptions, we estimate the final angular momentum to be the sum of the individual spins plus the orbital angular momentum of a test particle orbiting at the last stable orbit around a Kerr black hole with a spin parameter of the final black hole.
The formula we obtain is able to reproduce with reasonable accuracy the results from available numerical simulations, but, more importantly, it can be used to investigate what configurations might give rise to interesting dynamics.
In particular, we discuss scenarios which might give rise to a ``flip'' in the direction of the total angular momentum of the system.

Built on

M. Davis, R. Ruffini, W.H. Press and R.H. Price, Phys. Rev. Lett. 27
1972
Earlier work this paper cites.
J. Bardeen, W.H. Press and S. Teukolsky, Astrophys. J, 178
1972
Earlier work this paper cites.
T.A. Apostolatos, C. Cutler, G.J. Sussman and K. Thorne, Phys. Rev. D 49
1994
Earlier work this paper cites.
L. Kidder, Phys. Rev. D 52
1995
Earlier work this paper cites.
R.H. Price and J. Pullin, Phys. Rev. Lett. 72
1997
Earlier work this paper cites.
S. Chandrasekhar, The Mathematical Theory of Black Holes
1998
Earlier work this paper cites.
A. Buonanno and T. Damour, Phys. Rev. D 59
1999
Earlier work this paper cites.
T. Damour, P. Jaranowski and G. Schäfer, Phys. Rev. D 62
2000
Earlier work this paper cites.

Similar

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S. A. Hughes and R. D. Blandford, Astrophys. J. 585
2003
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2005
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2006
Cited alongside, same era.
E. Berti, V. Cardoso, J.A. Gonzalez, U. Sperhake, M. Hannam, S. Husa and B. Bruegmann, arXiv:gr-qc/0703053
Cited in the paper.
A. Buonanno, Y. Pan, J.G. Baker, J. Centrella, B.J. Kelly, S.T. McWilliams and J.R. van Meter (to appear in Phys. Rev. D), arXiv:0706.3732 [gr-qc]
Original
Cited in the paper.
L. Rezzolla, E.N. Dorband, C. Reisswig, P. Diener, D. Pollney, E. Schnetter and B. Szilagyi, arXiv:0708.3999 [gr-qc]
Original
Cited in the paper.
P. Marronetti, W. Tichy, B. Bruegmann, J. Gonzalez and U. Sperhake, arXiv:0709.2160 [gr-qc]
Original
Cited in the paper.

Then

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Later among the works it cites.
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2007
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2007
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A. Buonanno, G. Cook and F. Pretorius, Phys. Rev. D 75
2007
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F. Pretorius and D. Khurana, Class. Quant. Grav. 24
2007
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J. Gonzalez, U. Sperhake, B. Bruegmann, M. Hannam and S. Husa, Phys. Rev. Lett. 98
2007
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W. Tichy and P. Marronetti, Phys. Rev. D 76
2007
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M. Campanelli, C. Lousto, Y. Zlochower and D. Merritt, Astrophys. J. 659
2007
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