Modified gravity with arbitrary coupling between matter and geometry

Details Modified gravity with arbitrary coupling between matter and geometry Modified gravity with arbitrary coupling between matter and geometry

2008-10-04

arxiv.org/abs/0810.0742v2

Phys.Lett.B669:376-379,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, no figures, accepted for publication in PLB. Some further references added

Scientific paper

10.1016/j.physletb.2008.10.007

The field equations of a generalized $f(R)$ type gravity model, in which there is an arbitrary coupling between matter and geometry, are obtained. The equations of motion for test particles are derived from a variational principle in the particular case in which the Lagrange density of the matter is an arbitrary function of the energy-density of the matter only. Generally, the motion is non-geodesic, and takes place in the presence of an extra force orthogonal to the four-velocity. The Newtonian limit of the model is also considered. The perihelion precession of an elliptical planetary orbit in the presence of an extra force is obtained in a general form, and the magnitude of the extra gravitational effects is constrained in the case of a constant extra force by using Solar System observations.

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