Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-05-08
ApJ, 525:935-949, 1999
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, Latex2e, emulateapj.sty. To appear in ApJ
Scientific paper
10.1086/307942
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 (1993, 1997). Firstly we concentrate only on the radiation-reaction effects produced by a time-varying mass-current quadrupole $S_{ij}$. Secondly, 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.
Asada Hideki
Baumgarte Thomas W.
Rezzolla Luciano
Shapiro Stuart L.
Shibata Masaru
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