Influence of global cosmological expansion on local dynamics and kinematics

2008/10/31 by Matteo Carrera, Domenico Giulini
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dynamics (music) #General relativity #Kinematics #Metric expansion of space #Physics #Quantum mechanics #Relativity and Gravitational Theory #Scale (ratio) #Statistical physics #Theoretical physics #astro-ph #gr-qc #physics.space-ph

paper · pdf · doi:10.1103/revmodphys.82.169

published as Reviews of Modern Physics, year 2010, volume 82, issue 1, pages 169-208 · LaTeX (RevTeX), 41 pages, 3 figures. To appear in Reviews of Modern Physics. Adapted to journal version (typos corrected and minor additions on the interpretation of the Misner-Sharp energy)

arxiv created 2009/08/24 · openalex publication_date 2010/01/28 · arxiv updated 2015/05/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Attempts to estimate the influence of global cosmological expansion on local systems are reviewed. Here ``local'' is taken to mean that the sizes of the considered systems are much smaller than cosmologically relevant scales. For example, such influences can affect orbital motions as well as configurations of compact objects, like black holes. Also discussed are how measurements based on the exchange of electromagnetic signals of distances, velocities, etc. of moving objects are influenced. As an application, orders of magnitude of such effects are compared with the scale set by the apparently anomalous acceleration of the Pioneer 10 and 11 spacecrafts, which is 10^\ensuremath-9\phantom\rule0.3em0exm∕s². There is no reason to believe that the latter is of cosmological origin. However, the general problem of gaining a qualitative and quantitative understanding of how the cosmological dynamics influences local systems remains challenging, with only partial clues being so far provided by exact solutions to the field equations of general relativity.

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