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.

arXiv commentAccepted for Modern Physics Letters A

References in corpus (15)

• Curvature Quintessence
• Extra force in $f(R)$ modified theories of gravity
• Reconciling dark energy models with f(R) theories
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• Gravity assisted dark energy dominance and cosmic acceleration
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• MOND--theoretical aspects
• PPN-limit of Fourth Order Gravity inspired by Scalar-Tensor Gravity
• Detection strategies for scalar gravitational waves with interferometers and resonant spheres
• Dark energy exponential potential models as curvature quintessence
• A longitudinal component in massive gravitational waves arising from a bimetric theory of gravity
• Detecting Free-Mass Common-Mode Motion Induced by Incident Gravitational Waves: Testing General Relativity and Source Direction via Fox-Smith and Michelson Interferometers
• A solution of linearized Einstein field equations in vacuum used for the detection of the stochastic background of gravitational waves
• Extension of the frequency-range of interferometers for the ''magnetic'' components of gravitational waves?
• Analysis of the transverse effect of Einstein's gravitational waves

Cited by in corpus (11)

• Massive gravitational waves from f(R) theories of gravity: Potential detection with LISA
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation
• Recovering a MOND-like acceleration law in mimetic gravity
• Implications of the Generalized Entropy Formalisms on the Newtonian Gravity and Dynamics
• On the consistency of non-minimally coupled f(R) gravity
• Spotting deviations from R^2 inflation
• Eguchi-Hanson like space-times in F(R) gravity
• Searching for dynamical black holes in various theories of gravity
• R^n gravity and the chameleon
• Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity