Post-Newtonian dynamics of compact binaries with mass transfer

Abstract

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of the orbital frequency, which is consistent with the angular momentum balance equation. Numerical estimates of the phase of gravitational waves are provided for typical mass transfer rates. Our result can be used to improve the waveforms of gravitational waves emitted by compact binaries with mass transfer.

References in corpus (13)

• Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Third post-Newtonian dynamics of compact binaries: Equations of motion in the center-of-mass frame
• Gravitational-wave tails of tails
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Post-Newtonian and Numerical Calculations of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• Nuclear Dominated Accretion Flows in Two Dimensions. I. Torus Evolution with Parametric Microphysics
• Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
• Physics of Binary Star Evolution -- from Stars to X-ray Binaries and Gravitational Wave Sources
• Tidal Stripping of a White Dwarf by an Intermediate-Mass Black Hole
• Orbital Evolution of Neutron-Star -- White-Dwarf Binaries by Roche-Lobe Overflow and Gravitational Wave Radiation
• Measuring mass transfer of AM CVn binaries with a space-based gravitational wave detector
• Gravitational wave signatures and detectability of the mass transfer effect in compact binaries