Cosmology in the Solar System: Pioneer effect is not cosmological

Abstract

Does the Solar System and, more generally, a gravitationally bound system follow the cosmic expansion law ? Is there a cosmological influence on the dynamics or optics in such systems ? The general relativity theory provides an unique and unambiguous answer, as a solution of Einstein equations with a local source in addition to the cosmic fluid, and obeying the correct (cosmological) limiting conditions. This solution has no analytic expression. A Taylor development of its metric allows a complete treatment of dynamics and optics in gravitationally bound systems, up to the size of galaxy clusters, taking into account both local and cosmological effects. In the solar System, this provides an estimation of the (non zero) cosmological influence on the Pioneer probe: it fails to account for the " Pioneer effect " by about 10 orders of magnitude. We criticize contradictory claims on this topic.

References in corpus (5)

• Study of the anomalous acceleration of Pioneer 10 and 11
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• Cosmological effects in the local static frame
• Post-Einsteinian tests of gravitation
• On Doppler tracking in cosmological spacetimes

Cited by in corpus (9)

• The Pioneer Anomaly
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
• Black Holes in the Universe: Generalized Lemaitre-Tolman-Bondi Solutions
• Gravitation, electromagnetism and the cosmological constant in purely affine gravity
• Conformal Cosmology and the Pioneer Anomaly
• Cosmological expansion and local systems: a Lemaître-Tolman-Bondi model
• Pioneer 10 and 11 Spacecraft Anomalous Acceleration in the light of the Nonsymmetric Kaluza-Klein (Jordan-Thiry) Theory
• On the possible onset of the Pioneer anomaly
• The Variable-c Cosmology as a Solution to Pioneer Anomaly