First law of compact binary mechanics with gravitational-wave tails

DOI10.1088/1361-6382/aa79d7zbMath1371.83051arXiv1702.06839OpenAlexW2589275422MaRDI QIDQ5364921

Alexandre Le Tiec, Luc Blanchet

Publication date: 29 September 2017

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

Full work available at URL: https://arxiv.org/abs/1702.06839

zbMATH Keywords

gravitational wavesHamiltonian mechanicspost-Newtonian theorycompact binary system

Mathematics Subject Classification ID

Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Galactic and stellar dynamics (85A05) Gravitational waves (83C35) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (3)

Multipolar particles in helically symmetric spacetimes ⋮ Analytic approximations in GR and gravitational waves ⋮ Horizon surface gravity in corotating black hole binaries

Cites Work

• The effective field theorist's approach to gravitational dynamics
• Gravitational-wave tail effects to quartic non-linear order
• The gravity field of a particle. II
• Redefinition of position variables and the reduction of higher-order Lagrangians
• A note on celestial mechanics in Kerr spacetime
• The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem
• General Relativity and Gravitation
• Hamiltonian formulation of the conservative self-force dynamics in the Kerr geometry
• Effective field theory methods to model compact binaries
• The motion of point particles in curved spacetime
• Gravitational radiation from post-Newtonian sources and inspiralling compact binaries

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