Abstract
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 language | English (US) |
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Pages (from-to) | 935-949 |
Number of pages | 15 |
Journal | Astrophysical Journal |
Volume | 525 |
Issue number | 2 PART 1 |
DOIs | |
State | Published - Nov 10 1999 |
Keywords
- Hydrodynamics
- Instabilities
- Radiative transfer
- Relativity
- Stars: neutron
- Stars: rotation
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Space and Planetary Science