Local Gravity Constraints and Power Law f(R) Theories

Details Local Gravity Constraints and Power Law f(R) Theories Local Gravity Constraints and Power Law f(R) Theories

2010-05-31

arxiv.org/abs/1005.5670v1

Grav.Cosmol.3:239,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 Pages, no figure. To appear in Gravitation and Cosmology

Scientific paper

There is a conformal equivalence between power law $f(R)$ theories and scalar field theories in which the scalar degree of freedom evolves under the action of an exponential potential function. In the scalar field representation there is a strong coupling of the scalar field with the matter sector due to the conformal transformation. We use chameleon mechanism to implement constraints on the potential function of the scalar field in order that the resulting model be in accord with Solar System experiments. Investigation of these constraints reveals that there may be no possibility to distinguish between a power law $f(R)$ function and the usual Einstein-Hilbert Lagrangian density.

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