Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism (Articolo in rivista)

Type
Label
  • Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Alternative label
  • D. Bini and T. Damour (2014)
    Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
    in Physical review. D. Particles, fields, gravitation, and cosmology (CD-ROM)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • D. Bini and T. Damour (literal)
Pagina inizio
  • 124037 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 90 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto per le Applicazioni del Calcolo \"M. Picone,\" CNR IHES, Paris (literal)
Titolo
  • Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism (literal)
Abstract
  • Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal interactions (hitherto known only to the second post-Newtonian level) by extending our recently developed analytic self-force formalism, for extreme-mass-ratio binary systems, to the computation of several tidal invariants. Specifically, we compute, to linear order in the mass ratio and to the 7.5th post-Newtonian order, the following tidal invariants: the square and the cube of the gravitoelectric quadrupolar tidal tensor, the square of the gravitomagnetic quadrupolar tidal tensor, and the square of the gravitoelectric octupolar tidal tensor. Our high-accuracy analytic results are compared to recent numerical self-force tidal data by Dolan et al. [arXiv:1406.4890 [Phys. Rev. D (to be published)]?], and, notably, provide an analytic understanding of the light ring asymptotic behavior found by them. We transcribe our kinematical tidal-invariant results in the more dynamically significant effective one-body description of the tidal interaction energy. By combining, in a synergetic manner, analytical and numerical results, we provide simple, accurate analytic representations of the global, strong-field behavior of the gravitoelectric quadrupolar tidal factor. A striking finding is that the linear-in-mass-ratio piece in the latter tidal factor changes sign in the strong-field domain, to become negative (while its previously known second post-Newtonian approximant was always positive). We, however, argue that this will be more than compensated by a probable fast growth, in the strong-field domain, of the nonlinear-in-mass-ratio contributions in the tidal factor. (literal)
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