Expansion-induced contribution to the precession of binary orbits

Abstract

We point out the existence of new effects of global spacetime expansion on local binary systems. In addition to a possible change of orbital size, there is a contribution to the precession of elliptic orbits, to be added to the well-known general relativistic effect in static spacetimes, and the eccentricity can change. Our model calculations are done using geodesics in a McVittie metric, representing a localized system in an asymptotically Robertson-Walker spacetime; we give a few numerical estimates for that case, and indicate ways in which the model should be improved.

revtex, 7 pages, no figures; revised for publication in Classical and Quantum Gravity, with minor changes in response to referees' comments

References in corpus (5)

• A point mass in an isotropic universe. Existence, uniqueness and basic properties
• The influence of the cosmological expansion on local systems
• A point mass in an isotropic universe: III. The region $R\le 2m$
• Reconstruction of Stellar Orbits Close to Sagittarius A*: Possibilities for Testing General Relativity
• Some Dynamical Effects of the Cosmological Constant

Cited by in corpus (15)

• Cosmological expansion and local physics
• Influence of global cosmological expansion on local dynamics and kinematics
• Does the mass of a black hole decrease due to the accretion of phantom energy
• The effect of a massive object on an expanding universe
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
• Cosmological perturbations on local systems
• Black Holes in the Universe: Generalized Lemaitre-Tolman-Bondi Solutions
• Note on the perihelion/periastron advance due to cosmological constant
• Quasi-local masses and cosmological coupling of black holes and mimickers
• Effect of Accelerated Global Expansion on Bending of Light
• Gravitational orbits in the expanding universe revisited
• Influence of cosmological expansion in local experiments
• Turnaround physics beyond spherical symmetry
• Local coordinates and motion of a test particle in the McVittie spacetime
• Planetary motion on an expanding locally anisotropic background