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In this work the phenomenology of models possessing a non-minimal couplingbetween matter and geometry is discussed, with a particular focus on thepossibility of describing the flattening of the galactic rotation curves as adynamically generated effect derived from this modification to GeneralRelativity. Two possibilities are discussed: firstly, that the observeddiscrepancy between the measured rotation velocity and the classical predictionis due to a deviation from geodesic motion, due to a non-(covariant)conservation of the energy-momentum tensor; secondly, that even if theprinciple of energy conservation holds, the dynamical effects arising due tothe non-trivial terms in the Einstein equations of motion can give rise to anextra density contribution that may be interpreted as dark matter. Themechanism of the latter alternative is detailed, and a numerical sessionascertaining the order of magnitude of the relevant parameters is undertaken,with possible cosmological implications discussed.

Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter