Equivalence Principle (EP) and Solar System Constraints on $R(1\pm \epsilon \ln (\frac{R}{R_c}))$ model of Gravity

Abstract

Experiments on the violation of equivalence principle (EP) and solar system give a number of constraints in which any modified gravity model must satisfy them. We study these constraints on a kind of $f(R)$ gravity as $f(R)=R(1\pm \epsilon \ln (\frac{R}{R_c}))$. For this investigation we use of chameleon mechanism and show that a spherically body has thin-shell in this model. So that we obtain an effective coupling of the fifth force which is suppressed through a chameleon mechanism. Also, we obtain ${\gamma }_{PPN}=1\pm 1.13\times 10^{-5}$ which is agreement with experiment results. At last, we show that for $R_c\approx {\rho }_c$ this model is consistent with EP, thin shell condition and fifth force of chameleon mechanism for $\epsilon \backsimeq 10^{-14}$.

6 pages, no figure, Accepted for publication in Astrophysics & Space Science

References in corpus (15)

• Dynamics of dark energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Conditions for the cosmological viability of f(R) dark energy models
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Constraining f(R) Gravity as a Scalar Tensor Theory
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Cosmological Constraints on f(R) Acceleration Models
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Power-laws f(R) theories are cosmologically unacceptable
• Standard Cosmological Evolution in a Wide Range of f(R) Models

Cited by in corpus (9)

• Equivalence Principle in Chameleon Models
• Cosmological evolution of thermal relic particles in $f(R)$ gravity
• Quark-hadron phase transition in a chameleon Brans-Dicke model of brane gravity
• Anisotropy effects on Baryogenesis in $f(R)$-Theories of Gravity
• Non-local scalar fields inflationary mechanism in light of Planck $2013$
• Modified gravity in a viscous and non-isotropic background
• (Non-) geodesic motion in chameleon Brans Dicke model
• Reconstructing f(R) model from Holographic DE: Using the observational evidence
• Resembling holographic dark energy with f(R)gravity as scalar field and ghost dark energy with tachyon scalar fields