Published October 2, 2015 | Version Published
Journal Article Open

Precessional Instability in Binary Black Holes with Aligned Spins

  • 1. ROR icon University of Cambridge
  • 2. ROR icon The University of Texas at Dallas
  • 3. ROR icon Rochester Institute of Technology
  • 4. ROR icon University of Mississippi
  • 5. ROR icon University of Lisbon
  • 6. ROR icon California Institute of Technology
  • 7. ROR icon University of Pisa

Abstract

Binary black holes on quasicircular orbits with spins aligned with their orbital angular momentum have been test beds for analytic and numerical relativity for decades, not least because symmetry ensures that such configurations are equilibrium solutions to the spin-precession equations. In this work, we show that these solutions can be unstable when the spin of the higher-mass black hole is aligned with the orbital angular momentum and the spin of the lower-mass black hole is antialigned. Spins in these configurations are unstable to precession to large misalignment when the binary separation r is between the values r_(ud±) = (√χ_1 ± √qχ_2)^4(1−q)^(−2) M, where M is the total mass, q ≡ m_2/m_1 is the mass ratio, and χ_1 (χ_2) is the dimensionless spin of the more (less) massive black hole. This instability exists for a wide range of spin magnitudes and mass ratios and can occur in the strong-field regime near the merger. We describe the origin and nature of the instability using recently developed analytical techniques to characterize fully generic spin precession. This instability provides a channel to circumvent astrophysical spin alignment at large binary separations, allowing significant spin precession prior to merger affecting both gravitational-wave and electromagnetic signatures of stellar-mass and supermassive binary black holes.

Additional Information

© 2015 American Physical Society. (Received 30 June 2015; published 2 October 2015) We thank Tyson Littenberg for discussions. D. G. is supported by the UK STFC and the Isaac Newton Studentship of the University of Cambridge. M. K. is supported by Alfred P. Sloan Foundation Grant No. FG-2015-65299. R. O'S. is supported by NSF Grants No. PHY-0970074 and No. PHY-1307429. A. K. and E. B. are supported by NSF CAREER Grant No. PHY-1055103. E. B. acknowledges support from FCT Contract No. IF/00797/2014/CP1214/CT0012 under the IF2014 Programme. U.S. is supported by FP7-PEOPLE-2011-CIG Grant No. 293412, FP7-PEOPLE-2011-IRSES Grant No. 295189, H2020-MSCA-RISE-2015 Grant No. StronGrHEP-690904, SDSC and TACC through XSEDE Grant No. PHY-090003 by the NSF, H2020 ERC Consolidator Grant Agreement No. MaGRaTh-646597, STFC Roller Grant No. ST/L000636/1 and DiRAC's Cosmos Shared Memory system through BIS Grant No. ST/J005673/1 and STFC Grant No. ST/H008586/1, ST/K00333X/1. D. T. is partially supported by the NSF Awards No. PHY-1067985 and No. PHY-1404139. Figures were generated using the python-based matplotlib package [45].

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Published - PhysRevLett.115.141102.pdf

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Additional details

Identifiers

Eprint ID
61453
Resolver ID
CaltechAUTHORS:20151022-151738280

Funding

Alfred P. Sloan Foundation
FG-2015-65299
NSF
PHY-0970074
NSF
PHY-1307429
NSF
PHY-1055103
Fundação para a Ciência e a Tecnologia (FCT)
IF/00797/2014/CP1214/CT0012
Marie Curie Fellowship
293412
FP7-PEOPLE-2011-IRSES
295189
European Research Council (ERC)
690904
NSF
PHY-090003
European Research Council (ERC)
646597
Science and Technology Facilities Council (STFC)
ST/L000636/1
Science and Technology Facilities Council (STFC)
ST/J005673/1
Science and Technology Facilities Council (STFC)
ST/H008586/1
Science and Technology Facilities Council (STFC)
ST/K00333X/1
NSF
PHY-1067985
NSF
PHY-1404139

Dates

Created
2015-10-22
Created from EPrint's datestamp field
Updated
2023-03-16
Created from EPrint's last_modified field