Solar System tests and chameleon effect in f (R) gravity

Abstract

Using a novel and self-consistent approach that avoids the scalar-tensor identification in the Einstein frame, we reanalyze the viability of f(R) gravity within the context of solar-system tests. In order to do so, we depart from a simple but fully relativistic system of differential equations that describe a compact object in a static and spherically symmetric spacetime, and then we make suitable linearizations that apply to nonrelativistic objects such as the Sun. We then show clearly under which conditions the emerging chameleonlike mechanism can lead to a post-Newtonian parameter γ compatible with the observational bounds. To illustrate this method, we use several specific f(R) models proposed to explain the current acceleration of the Universe, and we show which of them are able to satisfy those bounds.

arXiv commentaccepted in Phys. Rev. D

References in corpus (66)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• f(R) Theories Of Gravity
• f(R) theories
• Multi-messenger Observations of a Binary Neutron Star Merger
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Disappearing cosmological constant in f(R) gravity
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Can modified gravity explain accelerated cosmic expansion?
• Conditions for the cosmological viability of f(R) dark energy models
• Cosmological Tests of Modified Gravity
• Horndeski theory and beyond: a review
• Are f(R) dark energy models cosmologically viable ?
• GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
• Dynamical dark energy in light of the latest observations
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Covariant conservation of energy momentum in modified gravities
• Solar System constraints to general f(R) gravity
• Tests of Chameleon Gravity
• f(R) Gravity and Chameleon Theories
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Gravitational radiation from compact binary systems in the massive Brans-Dicke theory of gravity
• Exponential Gravity
• Equivalence Principle Implications of Modified Gravity Models
• Spherical symmetry in $f(R)$-gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Non-linear evolution of f(R) cosmologies I: methodology
• Higher dimensional charged $f(R)$ black holes
• Cosmological evolution in exponential gravity
• Probing Dark Energy with Atom Interferometry
• New observational constraints on $f(R)$ gravity from cosmic chronometers
• f(R) Black holes
• Viable Singularity-Free f(R) Gravity Without a Cosmological Constant
• Robust approach to f(R) gravity
• Astrophysical Tests of Modified Gravity: A Screening Map of the Nearby Universe
• Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?
• Constraining $f(R)$ gravity models with disappearing cosmological constant
• Astrophysical Tests of Modified Gravity: Stellar and Gaseous Rotation Curves in Dwarf Galaxies
• Theoretical and observational constraints of viable f(R) theories of gravity
• Realistic simulations of galaxy formation in f(R) modified gravity
• A simple theorem to generate exact black hole solutions
• Cosmological constraints and comparison of viable $f(R)$ models
• Observational Constraints on Exponential Gravity
• Modified gravity for surveys
• Oscillations of the F(R) dark energy in the accelerating universe
• Cosmic History of Chameleonic Dark Matter in $F(R)$ Gravity
• A Rotating Charged Black Hole Solution in f(R) Gravity
• Solar system tests of f(R) gravity
• Probing Modified Gravity with Atom-Interferometry: a Numerical Approach
• Note on the equation of state of geometric dark-energy in f(R) gravity
• Equivalence Principle in Chameleon Models
• Constant curvature f(R) gravity minimally coupled with Yang-Mills field
• Maximum turnaround radius in $f(R)$ gravity
• About matter and dark-energy domination eras in R^n gravity or lack thereof
• Thick shell regime in the chameleon two-body problem
• Cosmic acceleration in asymptotically Ricci flat Universe

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• New late-time constraints on $f(R)$ gravity
• Testing f(R) gravity models with quasar X-ray and UV fluxes
• Constraining f(R) models with cosmic chronometers and the HII galaxy Hubble diagram
• Primordial Black Hole Merger Rate in $f(R)$ Gravity
• The galaxy rotation curves in the $f(R,T)$ modified gravity formalism
• White dwarfs in regularized 4D Einstein-Gauss-Bonnet gravity
• Post-Newtonian $\gamma$-like parameters and the gravitational slip in scalar-tensor and $f(R)$ theories
• Classical and quantum $f(R)$ cosmology: The big rip, the little rip and the little sibling of the big rip
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Addressing the DESI DR2 Phantom-Crossing Anomaly and Enhanced $H_0$ Tension with Reconstructed Scalar-Tensor Gravity
• Solar system tests and neutron stars in $f(R)$ gravity revisited
• Testing Exponential $f(R)$ Gravity with CMB, DESI-DR2, and Supernova Data
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