Gravitational radiation reaction in the equations of motion of compact binaries to 3.5 post-Newtonian order

Abstract

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone metric and equations of motion of an extended isolated system, using appropriate ``asymptotically matched'' flat-space-time retarded potentials. The formalism is subsequently applied to binary systems of point particles, with the help of the Hadamard self-field regularisation. Our result is the 3.5PN acceleration term in a general harmonic coordinate frame. Restricting the expression to the centre-of-mass frame, we find perfect agreement with the result derived in a class of coordinate systems by Iyer and Will using the energy and angular momentum balance equations.

28 pages, references added, to appear in Classical and Quantum Gravity

References in corpus (1)

• Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order

Cited by in corpus (42)

• Black holes, gravitational waves and fundamental physics: a roadmap
• The Effective Field Theorist's Approach to Gravitational Dynamics
• BBO and the Neutron-Star-Binary Subtraction Problem
• Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
• Gravitational Recoil of Inspiralling Black-Hole Binaries to Second Post-Newtonian Order
• Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
• Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• Radiative contributions to gravitational scattering
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order
• Radiated Angular Momentum and Dissipative Effects in Classical Scattering
• Towards the 4th post-Newtonian Hamiltonian for two-point-mass systems
• LISA observations of supermassive black holes: parameter estimation using full post-Newtonian inspiral waveforms
• Constraining the dense matter equation-of-state with radio pulsars
• On the structure of the post-Newtonian expansion in general relativity
• Introductory lectures on the Effective One Body formalism
• The Eccentric Behavior of Inspiraling Compact Binaries
• The General Relativistic Two Body Problem and the Effective One Body Formalism
• Flux-balance equations for linear momentum and center-of-mass position of self-gravitating post-Newtonian systems
• Intermediate-mass-ratio-inspirals in the Einstein Telescope: I. Signal-to-noise ratio calculations
• Radiation-reaction and angular momentum loss at the second Post-Minkowskian order
• Convergence of Fourier-domain templates for inspiraling eccentric compact binaries
• Third-and-a-half order post-Newtonian equations of motion for relativistic compact binaries using the strong field point particle limit
• Parameter estimation of compact binaries using the inspiral and ringdown waveforms
• Radiation Reaction for Non-Spinning Bodies at 4.5PN in the Effective Field Theory Approach
• Gravitational memory: new results from post-Newtonian and self-force theory
• Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order
• Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order
• Non-Kerr Constraints using Binary Black Hole inspirals considering phase modifications up to 4 PN order
• Analytic Approximations in GR and Gravitational Waves
• General Relativistic Dynamics of Compact Binary Systems
• Fourth-post-Newtonian-exact approximation to General Relativity
• Post-Newtonian Dynamics of Radiating Charges: Canonical Formulation and Binary Inspiral Laws
• Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates
• Improved Constraints on Non-Kerr Deviations from Binary Black Hole Inspirals Using GWTC-4 Data