Local Gravity Constraints and Power Law f(R) Theories

Abstract

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.

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

References in corpus (4)

• Constraining f(R) Gravity as a Scalar Tensor Theory
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• Power-laws f(R) theories are cosmologically unacceptable

Cited by in corpus (9)

• Linearized f(R) Gravity: Gravitational Radiation & Solar System Tests
• Non-minimal Gravitational Coupling of Phantom and Big Rip Singularity
• Searching for dynamical black holes in various theories of gravity
• R^n gravity and the chameleon
• Cosmic Acceleration in Brans-Dicke Cosmology
• Exact analytical vacuum solutions of $R^n$-gravity model depending on two variables
• Hubble Tension in Power-Law f(R) Gravity and Generalized Brans-Dicke Theory
• Cosmic Evolution in a Modified Brans-Dicke Theory
• Scheme of integration of vacuum $F(R)$ gravity in a travelling wave variable