The reduced Hamiltonian for next-to-leading-order spin-squared dynamics of general compact binaries

DOI10.1088/0264-9381/27/13/135007zbMath1195.83080arXiv1002.2093OpenAlexW3103463294MaRDI QIDQ3581334

Steven Hergt, Jan Steinhoff, Gerhard Schäfer

Publication date: 16 August 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2093

zbMATH Keywords

miscellaneous topicsLagrangian formalism and Hamiltonian formalismincluding asymmetric field theories

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Galactic and stellar dynamics (85A05) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Gravitational waves (83C35) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (13)

Next‐to‐next‐to‐leading order post‐Newtonian linear‐in‐spin binary Hamiltonians ⋮ Spinning gravitating objects in the effective field theory in the post-Newtonian scheme ⋮ General relativistic spin-orbit and spin-spin effects on the motion of rotating particles in an external gravitational field ⋮ Elimination of the spin supplementary condition in the effective field theory approach to the post-Newtonian approximation ⋮ Canonical formulation of spin in general relativity ⋮ Analytic approximations, perturbation theory, effective field theory methods and their applications ⋮ The effective field theorist's approach to gravitational dynamics ⋮ The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem ⋮ Gravitational radiation from post-Newtonian sources and inspiralling compact binaries ⋮ Gravitational cubic-in-spin interaction at the next-to-leading post-Newtonian order ⋮ Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries ⋮ A canonical dynamics view of the Newtonian limit of general relativity ⋮ Complete Hamiltonian for spinning binary systems at first post-Minkowskian order

This page was built for publication: The reduced Hamiltonian for next-to-leading-order spin-squared dynamics of general compact binaries