Post-Newtonian Parameters from Alternative Theories of Gravity

Abstract

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.

arXiv comment17 pages, no figures

References in corpus (8)

• 4D Gravity on a Brane in 5D Minkowski Space
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• Curvature quintessence matched with observational data
• One-loop f(R) gravity in de Sitter universe
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Cosmological Evolution in 1/R-Gravity Theory
• Can higher order curvature theories explain rotation curves of galaxies?
• Newtonian limit of the singular f(R) gravity in the Palatini formalism

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