1999/05/08 by Luciano Rezzolla, L. Rezzolla, M. Shibata +7 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Computer simulation #Formalism (music) #Gamma-ray bursts and supernovae #Instability #Neutron #Numerical analysis #Numerical models #Numerical stability #Pulsars and Gravitational Waves Research #Quadrupole #astro-ph #gr-qc
paper · pdf · doi:10.1086/307942
published as ApJ, 525:935-949, 1999 · 17 pages, Latex2e, emulateapj.sty. To appear in ApJ
arxiv created 1999/05/08 · openalex publication_date 1999/11/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 S ij . Second, we adopt a gauge in which the radiation-reaction force densities depend on the fourth time derivative of S ij , 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.