[gr-qc/0602098] On the influence of the global cosmological expansion on the local dynamics in the Solar System

Authors:  Matteo Carrera, Domenico Giulini
Abstract:  In this expository paper we address the question of whether, and to what extent, the cosmological expansion influences the dynamics on small scales (as compared to cosmological ones), particularly in our Solar System. We distinguish between dynamical and kinematical effects and critically review the status of both as presented in the current literature.
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Garth Antony Barber
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Joined: July 19 2005
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[gr-qc/0602098] On the influence of the global cosmological

Post by Garth Antony Barber » February 27 2006

The overall theme of this paper concerns the question of whether the global cosmological expansion has any influence on the local dynamics and kinematics within the Solar System. Despite many efforts in the past, this problem is still debated controversially in the current literature and hardly anything is written about it in standard textbooks.
This is rather strange as the question seems to be of obvious interest. Hence there is room for speculations that such an influence might exist and be detectable with current experimental means. It has even be suggested that it be (partly) responsible for the apparently anomalous acceleration of the Pioneer spacecrafts, the so-called ‘Pioneer- Anomaly’ [74, 75, 78, 79, 80, 81], henceforth abbreviated by PA.
Existing investigations in this direction arrive at partially conflicting conclusions. To resolve this issues at a fundamental level one may think to start from an investigation of the embedding-problem for the Solar System.
Orbital dynamics in GR are calculated from the Schwarzschild metric, which is the spherically symmetric solution embedded in a static Minkowskian space-time. Might not a solution embedded in a cosmological metric be expected to expand with the Hubble flow?


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