Tidal Dynamics in Cosmological Spacetimes

Details Tidal Dynamics in Cosmological Spacetimes Tidal Dynamics in Cosmological Spacetimes

2007-05-09

arxiv.org/abs/0705.1312v4

Class.Quant.Grav.24:5031-5046,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figures, REVTeX 4.0; appendix added, new references, and minor changes throughout; to appear in Classical and Qua

Scientific paper

10.1088/0264-9381/24/20/008

We study the relative motion of nearby free test particles in cosmological spacetimes, such as the FLRW and LTB models. In particular, the influence of spatial inhomogeneities on local tidal accelerations is investigated. The implications of our results for the dynamics of the solar system are briefly discussed. That is, on the basis of the models studied in this paper, we estimate the tidal influence of the cosmic gravitational field on the orbit of the Earth around the Sun and show that the corresponding temporal rate of variation of the astronomical unit is negligibly small.

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