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Modified gravity with arbitrary coupling between matter and geometry
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Modified gravity with arbitrary coupling between matter and geometry
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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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Cited by 1 Pith paper
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Transit dark energy cosmological models in generalized matter-geometry coupling theory using a non-linear form of $f(R,T,L_{m})$ function
A modified f(R,T,L_m) gravity model, fitted to CC and Pantheon data, yields an accelerating late-time universe with transition redshift near 0.6 and an effective dark energy equation of state within 1e-5 of -1.
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