Analytic Modeling of Tidal Effects in the Relativistic Inspiral of Binary Neutron Stars

Luca Baiotti, Thibault Damour, Bruno Giacomazzo, Alessandro Nagar, and Luciano Rezzolla
Phys. Rev. Lett. 105, 261101 – Published 22 December 2010

Abstract

To detect the gravitational-wave (GW) signal from binary neutron stars and extract information about the equation of state of matter at nuclear density, it is necessary to match the signal with a bank of accurate templates. We present the two longest (to date) general-relativistic simulations of equal-mass binary neutron stars with different compactnesses, C=0.12 and C=0.14, and compare them with a tidal extension of the effective-one-body (EOB) model. The typical numerical phasing errors over the 22   GW cycles are Δϕ±0.24   rad. By calibrating only one parameter (representing a higher-order amplification of tidal effects), the EOB model can reproduce, within the numerical error, the two numerical waveforms essentially up to the merger. By contrast, the third post-Newtonian Taylor-T4 approximant with leading-order tidal corrections dephases with respect to the numerical waveforms by several radians.

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  • Received 29 June 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.261101

© 2010 The American Physical Society

Authors & Affiliations

Luca Baiotti1,2, Thibault Damour3,4, Bruno Giacomazzo5,6,7, Alessandro Nagar3, and Luciano Rezzolla7,8

  • 1Institute of Laser Engineering, Osaka University, Suita, Japan
  • 2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan
  • 3Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France
  • 4ICRANet, Pescara, Italy
  • 5Department of Astronomy, University of Maryland, College Park, Maryland, USA
  • 6Gravitational Astrophysics Laboratory, NASA Goddard Space Flight Center, Greenbelt, Maryland, USA
  • 7Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Potsdam, Germany
  • 8Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana, USA

See Also

Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models

Luca Baiotti, Thibault Damour, Bruno Giacomazzo, Alessandro Nagar, and Luciano Rezzolla
Phys. Rev. D 84, 024017 (2011)

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Vol. 105, Iss. 26 — 31 December 2010

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