The Newtonian limit in a family of metric affine theories of gravitation

Details The Newtonian limit in a family of metric affine theories of gravitation The Newtonian limit in a family of metric affine theories of gravitation

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28..339b&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 3, pp.339-345

Physics

9

Scientific paper

A brief review of a first order theory with a quadratic LagrangianL=R+Ω0R2 is presented. It is shown that a test particle follows a geodesic of the metric connection. The theory behaves in the Newtonian limit as the Newtonian theory with a correction which is proportional to the matter density at the field point. This behavior can be produced by a Yukawa potential with an atomic scale characteristic rangeλ and a coupling constantα proportional to 1/λ 2. This type of potential is not excluded by the present experimental data.

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