Bound systems in an expanding universe

Details Bound systems in an expanding universe Bound systems in an expanding universe

2000-03-10

arxiv.org/abs/astro-ph/0003152v2

Astronomy and Astrophysics

Astrophysics

More explanation has been added and an error has been corrected, i.e. the extrinsic curvature is continuous, however some of t

Scientific paper

The Schwarzchild solution insertion in an expanding universe, the so-called "Swiss cheese model," is shown to possess a very unphysical property. Specifically, in this model some trajectories are discontinuous functions of their initial conditions. An alternate metric is proposed as a remedy. It goes smoothly between the Schwarzchild exterior solution and the Friedmann-Lemaitre, expanding universe metric. It is further shown that the effects of the expansion on planetary motions in the solar system are too small to be currently observed for this alternate metric.

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