Post-Newtonian Parameters from Alternative Theories of Gravity

Details Post-Newtonian Parameters from Alternative Theories of Gravity Post-Newtonian Parameters from Alternative Theories of Gravity

2005-06-27

arxiv.org/abs/gr-qc/0506123v1

Gen.Rel.Grav.37:1891-1904,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures

Scientific paper

10.1007/s10714-005-0195-8

Alternative theories of gravity have been recently studied in connection with their cosmological applications, both in the Palatini and in the metric formalism. The aim of this paper is to propose a theoretical framework (in the Palatini formalism) to test these theories at the solar system level and possibly at the galactic scales. We exactly solve field equations in vacuum and find the corresponding corrections to the standard general relativistic gravitational field. On the other hand, approximate solutions are found in matter cases starting from a Lagrangian which depends on a phenomenological parameter. Both in the vacuum case and in the matter case the deviations from General Relativity are controlled by parameters that provide the Post-Newtonian corrections which prove to be in good agreement with solar system experiments.

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