Modified gravity with arbitrary coupling between matter and geometry

By Tiberiu Harko. 2008

276 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/d6d96db3150bc8a39ee679e776f66e936fc809c8

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Citations in the corpus

LRS Bianchi type-I cosmological model in f(R,T) theory of gravity (2011, unknown): “This model was extended to the case of the arbitrary couplings in both geometry and matter by Harko (2008).”
f(T) teleparallel gravity and cosmology (2015, background): “However, since there is no theoretical reason against couplings between the gravitational sector and the standard matter one, one can consider modified theories where the matter Lagrangian is coupled to functions of the Ricci scalar [611], and extend the theory to arbitrary functions (R,Lm) [613, 61”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, methodology): “is the angular momentum, and α = GmM , respectively (see [63] and the references therein).”