Influence of global cosmological expansion on local dynamics and kinematics

TL;DR

This paper reviews how the universe's expansion might influence local systems like planetary orbits and black holes, concluding that such effects are negligible compared to observed anomalies like the Pioneer spacecraft acceleration.

Contribution

It provides a comprehensive review of attempts to quantify cosmological expansion effects on small-scale systems and compares these effects to observed anomalies.

Findings

Cosmological effects on local dynamics are minimal.

No evidence links Pioneer anomaly to cosmological expansion.

Exact solutions offer partial insights into local-cosmological interactions.

Abstract

We review attempts to estimate the influence of global cosmological expansion on local systems. 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. We also discuss how measurements based on the exchange of electromagnetic signals of distances, velocities, etc. of moving objects are influenced. As an application we compare orders of magnitudes of such effects with the scale set by the apparently anomalous acceleration of the Pioneer 10 and 11 spacecrafts, which is 10^-9 m/s^2. We find 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.