Post-Einsteinian tests of gravitation

Abstract

Einstein gravitation theory can be extended by preserving its geometrical nature but changing the relation between curvature and energy-momentum tensors. This change accounts for radiative corrections, replacing the Newton gravitation constant by two running couplings which depend on scale and differ in the two sectors of traceless and traced tensors. The metric and curvature tensors in the field of the Sun, which were obtained in previous papers within a linearized approximation, are then calculated without this restriction. Modifications of gravitational effects on geodesics are then studied, allowing one to explore phenomenological consequences of extensions lying in the vicinity of general relativity. Some of these extended theories are able to account for the Pioneer anomaly while remaining compatible with tests involving the motion of planets. The PPN Ansatz corresponds to peculiar extensions of general relativity which do not have the ability to meet this compatibility challenge.

arXiv comment19 pages Corrected typos

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Cited by in corpus (18)

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• The Pioneer Anomaly
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• Tests of Lorentz symmetry in the gravitational sector
• Determination of the relativistic parameter gamma using very long baseline interferometry
• Odyssey: a Solar System Mission
• On the anomalous secular increase of the eccentricity of the orbit of the Moon
• Testing General Relativity with Atomic Clocks
• Radioscience simulations in General Relativity and in alternative theories of gravity
• OSS (Outer Solar System): A fundamental and planetary physics mission to Neptune, Triton and the Kuiper Belt
• Can the Pioneer anomaly be of gravitational origin? A phenomenological answer
• Electrostatic accelerometer with bias rejection for Gravitation and Solar System physics
• Can the Pioneer anomaly be induced by velocity-dependent forces? Tests in the outer regions of solar system with planetary dynamics
• Cosmology in the Solar System: Pioneer effect is not cosmological
• Bounds on gravitational wave backgrounds from large distance clock comparisons
• Constraints on $f(R_{ijkl}{R}^{ijkl})$ gravity: An evidence against the covariant resolution of the Pioneer anomaly
• Long range gravity tests and the Pioneer anomaly