Constraining Post-Newtonian f(R) Gravity in the Solar System

Details Constraining Post-Newtonian f(R) Gravity in the Solar System Constraining Post-Newtonian f(R) Gravity in the Solar System

2008-11-24

arxiv.org/abs/0811.3860v1

The Problems of Modern Cosmology, pages 261-272, Tomsk State Pedagogical University (2009)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, AASTeX macros, Contribution to "The Problems of Modern Cosmology", special volume on the occasion of Prof. S.D. Odin

Scientific paper

We consider some models of f(R) gravity that can be used to describe, in a suitable weak-field limit, the gravitational field of the Sun. Using a perturbative approach, we focus on the impact that the modifications of the gravitational field, due to the non-linearity of the gravity Lagrangian, have on the Solar System dynamics. We compare the theoretical predictions for the precession of the longitude of the pericentre $\varpi$ of a test particle with the corrections to the standard Newtonian-Einsteinian precessions of the longitudes of perihelia of some planets of the Solar System recently estimated by E.V. Pitjeva by fitting large data sets with various versions of the EPM ephemerides.

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