A non-geodesic motion in the R^-1 theory of gravity tuned with observations

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.

Accepted for Modern Physics Letters A

References in corpus (4)

• Extra force in $f(R)$ modified theories of gravity
• A longitudinal component in massive gravitational waves arising from a bimetric theory of gravity
• A solution of linearized Einstein field equations in vacuum used for the detection of the stochastic background of gravitational waves
• Analysis of the transverse effect of Einstein's gravitational waves

Cited by in corpus (3)

• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Searching for dynamical black holes in various theories of gravity
• R^n gravity and the chameleon