Constraining f(R) gravity in solar system, cosmology and binary pulsar systems

Abstract

The $f(R)$ gravity can be cast into the form of a scalar-tensor theory, and scalar degree of freedom can be suppressed in high-density regions by the chameleon mechanism. In this article, for the general $f(R)$ gravity, using a scalar-tensor representation with the chameleon mechanism, we calculate the parameterized post-Newtonian parameters $\gamma$ and $\beta$, the effective gravitational constant $G_{\mathrm{eff}}$, and the effective cosmological constant ${\Lambda }_{\mathrm{eff}}$. In addition, for the general $f(R)$ gravity, we also calculate the rate of orbital period decay of the binary system due to gravitational radiation. Then we apply these results to specific $f(R)$ models (Hu-Sawicki model, Tsujikawa model and Starobinsky model) and derive the constraints on the model parameters by combining the observations in solar system, cosmological scales and the binary systems.

LaTex, 19 pages,1 figure, typo corrected. To appear in Physics Letters B

References in corpus (48)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Observation of Gravitational Waves from a Binary Black Hole Merger
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• A Massive Pulsar in a Compact Relativistic Binary
• f(R) theories
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Masses, Radii, and Equation of State of Neutron Stars
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• Dark Energy
• Can modified gravity explain accelerated cosmic expansion?
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Testing General Relativity with Pulsar Timing
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Post-Newtonian constraints on f(R) cosmologies in Palatini formalism
• Post-Newtonian constraints on f(R) cosmologies in metric formalism
• f(R) Gravity and Chameleon Theories
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Matter instability in modified gravity
• A Singularity Problem with f(R) Dark Energy
• Equivalence Principle Implications of Modified Gravity Models
• The stability of modified gravity models
• PPN-limit of Fourth Order Gravity inspired by Scalar-Tensor Gravity
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• The existence of relativistic stars in f(R) gravity
• Constraining chameleon models with cosmology
• Testing f(R)-theories using the first time derivative of the orbital period of the binary pulsars
• Gravitational radiation from compact binary systems in screened modified gravity
• Constraints on Horndeski Theory Using the Observations of Nordtvedt Effect, Shapiro Time Delay and Binary Pulsars
• Neutron Stars in Screened Modified Gravity: Chameleon vs Dilaton
• Post-Newtonian parameters and cosmological constant of screened modified gravity
• Probing the physical and mathematical structure of $f(R)$ gravity by PSR $J0348+0432$
• A New Exponential Gravity

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