Non-minimal curvature-matter couplings in modified gravity

Abstract

Recently, in the context of f(R) modified theories of gravity, it was shown that a curvature-matter coupling induces a non-vanishing covariant derivative of the energy-momentum, implying non-geodesic motion and, under appropriate conditions, leading to the appearance of an extra force. We study the implications of this proposal and discuss some directions for future research.

10 pages, 2 figures, contribution to the anniversary volume "The Problems of Modern Cosmology", on the occasion of the 50th birthday of Prof. S. D. Odintsov. Editor: Prof. P. M. Lavrov, Tomsk State Pedagogical University

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