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 (19)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Confrontation between General Relativity and Experiment
• A Massive Pulsar in a Compact Relativistic Binary
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Beyond the Cosmological Standard Model
• 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
• Constraining f(R) Gravity as a Scalar Tensor Theory
• 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
• 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

Cited by in corpus (2)

• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
• Constraining Screened Modified Gravity by Space-borne Gravitational-wave Detectors