REVIEWS OF MODERN PHYSICS, VOLUME 82, JANUARY–MARCH 2010
Matteo Carrera*
Institute of Physics, University of Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg,
Germany
Domenico Giulini†
Institute for Theoretical Physics, University of Hanover, Appelstraße 2, D-30167 Hannover,
Germany
Published 28 January 2010
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 10−9 m/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.