On the comparison of results regarding the post-Newtonian approximate treatment of the dynamics of extended spinning compact binaries

Abstract

A brief review is given of all the Hamiltonians and effective potentials calculated hitherto covering the post-Newtonian (pN) dynamics of a two body system. A method is presented to compare (conservative) reduced Hamiltonians with nonreduced potentials directly at least up to the next-to-leading-pN order.

Conference proceedings for the 7th International Conference on Gravitation and Cosmology (ICGC2011), 4 pages

References in corpus (6)

• Relativistic theory of tidal Love numbers
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• ADM canonical formalism for gravitating spinning objects
• Canonical Formulation of Spin in General Relativity
• Reduced Hamiltonian for next-to-leading order Spin-Squared Dynamics of General Compact Binaries

Cited by in corpus (15)

• The Effective Field Theorist's Approach to Gravitational Dynamics
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Gravitational spin Hamiltonians from the S matrix
• The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
• Effective field theory methods to model compact binaries
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
• Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
• Deviation of quadrupolar bodies from geodesic motion in a Kerr spacetime
• Dynamics of quadrupolar bodies in a Schwarzschild spacetime
• Dynamics of extended bodies with spin-induced quadrupole in Kerr spacetime: generic orbits
• Analytic approximations, perturbation theory, effective field theory methods and their applications
• Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
• Tidal invariants along the world line of an extended body in the Kerr spacetime