Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 36, Issue 8, Pages 1947-1954Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/B:GERG.0000036052.81522.fe
Keywords
Newtonian limit; Palatini form; modified gravity
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General Relativity has so far passed almost all the ground-based and solar-system experiments. Any reasonable extended gravity models should consistently reduce to it at least in the weak field approximation. In this work we derive the gravitational potential for the Palatini formulation of the modified gravity of the L( R) type which admits a de Sitter vacuum solution. We argue that the Newtonian limit is always obtained in those class of models and the deviations from General Relativity are very small for a slowly moving source.
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