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Cited by 305

The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.

Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction

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Racine, Étienne·2008·Physical Review D
DOI 10.1103/physrevd.78.044021
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Abstract

We analyze in detail the spin precession equations in binary black hole systems, when the tidal torque on a Kerr black hole due to quadrupole-monopole coupling is taken into account. We show that completing the precession equations with this term reveals the existence of a conserved quantity at 2PN order when averaging over orbital motion. This quantity allows one to solve the (orbit-averaged) precession equations exactly in the case of equal masses and arbitrary spins, neglecting radiation reaction. For unequal masses, an exact solution does not exist in closed form, but we are still able to derive accurate approximate analytic solutions. We also show how to incorporate radiation-reaction effects into our analytic solutions adiabatically, and compare the results to solutions obtained numerically. For various configurations of the binary, the relative difference in the accumulated orbital phase computed using our analytic solutions versus a full numerical solution varies from $\ensuremath{\sim}0.3%$ to $\ensuremath{\sim}1.8%$ over $\ensuremath{\sim}80--140$ orbital cycles accumulated while sweeping over the orbital frequency range $\ensuremath{\sim}20--300\text{ }\text{ }\mathrm{Hz}$. This typically corresponds to a discrepancy of order $\ensuremath{\sim}5--6$ radians. While this may not be accurate enough for implementation in LIGO template banks, we still believe that our new solutions are potentially quite useful for comparing numerical relativity simulations of spinning binary black hole systems with post-Newtonian theory. They can also be used to gain more understanding of precession effects, with potential application to the gravitational recoil problem, and to provide semianalytical templates for spinning, precessing binaries.

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Metadata

Authors
Racine, É.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2008-08-11
Volume
78
Issue
4
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.78.044021
OpenAlex
W2096077283
Cited by
305
References
18
FWCI
2.95
Type
journal article
Language
en
Open access
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CoChat. (2026). Citation check: Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction. https://app.cochat.ai/papers/10.1103/physrevd.78.044021
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Racine, É. (2008). Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction. Physical Review D. https://doi.org/10.1103/physrevd.78.044021

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