Testing a non-minimal coupling between matter and curvature

Details Testing a non-minimal coupling between matter and curvature Testing a non-minimal coupling between matter and curvature

2011-11-11

arxiv.org/abs/1111.2740v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 3 figures. To appear in the Proceedings of the "QSO Astrophysics, Fundamental physics, and Astrometric Cosmology in

Scientific paper

One of the most interesting and current phenomenological extensions of General Relativity is the so-called $f (R)$ class of theories; a natural generalization of this includes an explicit non-minimal coupling between matter and curvature. The purpose of this work is to present a unified view of the applicability of the latter to various contexts, ranging from astrophysical matter distributions to a cosmological setting. Various results are discussed, including the impact of this non-minimal coupling in the choice of Lagrangian density, a mechanism to mimic galactic dark matter and a Cosmological Constant at a astrophysical scale, the possibility of accounting for the accelerated expansion of the Universe and modifications to post-inflationary reheating. The equivalence between a model exhibiting a non-minimal coupling and multi-scalar-theories is also discussed.

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