First Law of Compact Binary Mechanics with Gravitational-Wave Tails - Laboratoire Univers et Théories Accéder directement au contenu
Article Dans Une Revue Class.Quant.Grav. Année : 2017

First Law of Compact Binary Mechanics with Gravitational-Wave Tails

Résumé

We derive the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a gravitational-wave tail effect at that order. Using this first law, we show how the periastron advance of the binary system can be related to the averaged redshift of one of the two bodies for a slightly non-circular orbit, in the limit where the eccentricity vanishes. Combining this expression with existing analytical self-force results for the averaged redshift, we recover the known 4PN expression for the circular-orbit periastron advance, to linear order in the mass ratio.

Dates et versions

hal-01582385 , version 1 (06-09-2017)

Identifiants

Citer

Luc Blanchet, Alexandre Le Tiec. First Law of Compact Binary Mechanics with Gravitational-Wave Tails. Class.Quant.Grav., 2017, 34 (16), pp.164001. ⟨10.1088/1361-6382/aa79d7⟩. ⟨hal-01582385⟩
55 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More