Constraining Extended Theories of Gravity using Solar System Tests

Abstract

Solar System tests give nowadays constraints on the estimated value of the cosmological constant, which can be accurately derived from different experiments regarding gravitational redshift, light deflection, gravitational time-delay and geodesic precession. Assuming that each reasonable theory of gravitation should satisfy Solar System tests, we use these limits on the estimated value of the cosmological constant to constrain extended theories of Gravity, which are nowadays studied as possible theories for cosmological models and provide viable solutions to the cosmological constant problem and the explanation of the present acceleration of the Universe. We obtain that the estimated values, from Solar System tests, for the parameters appearing in the extended theories of Gravity are orders of magnitude bigger than the values obtained in the framework of cosmologically relevant theories.

5 Pages, title changed, conclusions improved, references updated and added; to appear in General Relativity and Gravitation

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Cosmological Constant and Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Cosmological Results from High-z Supernovae
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• Can modified gravity explain accelerated cosmic expansion?
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• 1/R gravity and Scalar-Tensor Gravity
• One-loop f(R) gravity in de Sitter universe
• Modified gravity with $\ln R$ terms and cosmic acceleration
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• The gravity lagrangian according to solar system experiments
• Palatini form of 1/R gravity
• Solar system effects in Schwarzschild--de Sitter spacetime
• Cosmological Evolution in 1/R-Gravity Theory
• Modified Friedmann Equations in R${}^{-1}$-Modified Gravity
• Post-Newtonian Parameters from Alternative Theories of Gravity
• Solar System planetary orbital motions and f(R) Theories of Gravity
• Solar System planetary orbital motions and dark matter

Cited by in corpus (21)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Stellar structure models in modified theories of gravity: lessons and challenges
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Hydrogen atom in Palatini theories of gravity
• Theory of gravitation theories: a no-progress report
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Do sewn singularities falsify the Palatini cosmology?
• Stable Charged Radiating Systems Associated with Tilted Observers
• Reconstructing cosmic acceleration from modified and non-minimal gravity: The Yang-Mills case
• Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity
• Constraining models of modified gravity with the double pulsar PSR J0737-3039A/B system
• Testing General Relativity using Quasi-Periodic Oscillations from X-ray Black Holes: XTE J1550-564 and GRO J1655-40
• Constraining some $r^{-n}$ extra-potentials in modified gravity models with LAGEOS-type laser-ranged geodetic satellites
• Effect of some modified models of gravity on the radial velocity of binary systems