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Generalized Curvature-Matter Couplings in Modified Gravity
AbstractIn 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.
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Harko, T.; Lobo, F.S. Generalized Curvature-Matter Couplings in Modified Gravity. Galaxies 2014, 2, 410-465.View more citation formats
Harko T, Lobo FS. Generalized Curvature-Matter Couplings in Modified Gravity. Galaxies. 2014; 2(3):410-465.Chicago/Turabian Style
Harko, Tiberiu; Lobo, Francisco S. 2014. "Generalized Curvature-Matter Couplings in Modified Gravity." Galaxies 2, no. 3: 410-465.