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Galaxies 2014, 2(3), 410-465; doi:10.3390/galaxies2030410

Generalized Curvature-Matter Couplings in Modified Gravity

Received: 30 May 2014 / Revised: 7 July 2014 / Accepted: 8 July 2014 / Published: 28 July 2014
(This article belongs to the Special Issue Beyond Standard Gravity and Cosmology)
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In this work, we review a plethora of modified theories of gravity with generalized curvature-matter couplings. The explicit nonminimal couplings, for instance, between an arbitrary function of the scalar curvature R and the Lagrangian density of matter, induces a non-vanishing covariant derivative of the energy-momentum tensor, implying non-geodesic motion and, consequently, leads to the appearance of an extra force. Applied to the cosmological context, these curvature-matter couplings lead to interesting phenomenology, where one can obtain a unified description of the cosmological epochs. We also consider the possibility that the behavior of the galactic flat rotation curves can be explained in the framework of the curvature-matter coupling models, where the extra terms in the gravitational field equations modify the equations of motion of test particles and induce a supplementary gravitational interaction. In addition to this, these models are extremely useful for describing dark energy-dark matter interactions and for explaining the late-time cosmic acceleration.
Keywords: modified gravity; curvature-matter couplings; cosmology; dark matter modified gravity; curvature-matter couplings; cosmology; dark matter
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Harko, T.; Lobo, F.S. Generalized Curvature-Matter Couplings in Modified Gravity. Galaxies 2014, 2, 410-465.

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