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A NON-GEODESIC MOTION IN THE R^-1 THEORY OF GRAVITY TUNED WITH OBSERVATIONS

CHRISTIAN CORDA

INFN, Sezione di Pisa and Università di Pisa, Largo Pontecorvo 3, I-56127, PISA, Italy

Instituto de Cosmologia, Relatividade e Astrofísica (ICRA-BR), Centro Brasilero de Pesquisas Fisicas, Rua Dr. Xavier Sigaud 150, CEP 22290-180 Urca Rio de Janeiro, RJ, Brazil

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https://doi.org/10.1142/S0217732308026248Cited by:13 (Source: Crossref)

Abstract

In the general picture of high order theories of gravity, recently, the R^-1 theory has been analyzed in two different frameworks. In this letter a third context is added, considering an explicit coupling between the R^-1 function of the Ricci scalar and the matter Lagrangian. The result is a non-geodesic motion of test particles which, in principle, could be connected with Dark Matter and Pioneer anomaly problems.

Keywords:

PACS: 04.50.+h, 04.20.Jb

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