Constructing a mass-current radiation-reaction force for numerical simulations

Luciano Rezzolla, Masaru Shibata, Hideki Asada, Thomas W. Baumgarte, Stuart L. Shapiro

Research output: Contribution to journalArticlepeer-review


We present a new set of 3.5 post-Newtonian equations in which Newtonian hydrodynamics is coupled to the nonconservative effects of gravitational radiation emission. Our formalism differs in two significant ways from a similar 3.5 post-Newtonian approach proposed by Blanchet. First, we concentrate only on the radiation-reaction effects produced by a time-varying mass-current quadrupole Sij. Second, we adopt a gauge in which the radiation-reaction force densities depend on the fourth time derivative of Sij, rather than on the fifth, as in Blanchet's approach. This difference makes our formalism particularly well-suited to numerical implementation and could prove useful in performing fully numerical simulations of the recently discovered r-mode instability for rotating neutron stars subject to axial perturbations.

Original languageEnglish (US)
Pages (from-to)935-949
Number of pages15
JournalAstrophysical Journal
Issue number2 PART 1
StatePublished - Nov 10 1999


  • Hydrodynamics
  • Instabilities
  • Radiative transfer
  • Relativity
  • Stars: neutron
  • Stars: rotation

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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