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EG4 - Astrometric Tests

Speaker

Dumin, Yurii

Talk Title

On the Problem of Local Hubble Expansion

Abstract

The question if the planetary orbits experience Hubble expansion has a long history, starting from the works by McVittie in 1933. Since that time, a number of researchers revisited this subject, and the most frequent conclusion was that the Hubble effect at the interplanetary scales should be negligible or absent at all. However, the particular quantitative estimates disagree with each other. Fortunately, the situation becomes much more simplified for the dark-energy-dominated cosmological models due to existence of the exact Kottler solution for a point-like mass against the cosmological background formed by the Lambda-term. Thereby, the problem is mostly reduced to the correct choice of coordinates, adequate to the physical meaning of the problem. It is the aim of the present report to confront the analysis of a test particle motion in Kottler metric written in the cosmological Robertson-Walker coordinates [Yu.V. Dumin. Phys. Rev. Lett. v.98, p.059001 (2007)] with the post-Newtonian approximation developed in the work by S.A. Klioner and M.H. Soffel [In "The Three-Dimensional Universe with Gaia", Obs. Paris-Meudon (2004), p.305; astro-ph/0411363].

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