The gravity lagrangian according to solar system experiments

Abstract

In this work we show that the gravity lagrangian f(R) at relatively low curvatures in both metric and Palatini formalisms is a bounded function that can only depart from the linearity within the limits defined by well known functions. We obtain those functions by analysing a set of inequalities that any f(R) theory must satisfy in order to be compatible with laboratory and solar system observational constraints. This result implies that the recently suggested f(R) gravity theories with nonlinear terms that dominate at low curvatures are incompatible with observations and, therefore, cannot represent a valid mechanism to justify the cosmic speed-up.

4 pages, revtex4

Cited by in corpus (238)

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• Dark torsion as the cosmic speed-up
• Beyond the Cosmological Standard Model
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• Some Recent Results on Ricci-Based Gravity Theories
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• f(T) Quantum Cosmology
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• Decay of dark energy into dark matter in a metric $f(R)$ gravity: effective running Hubble constant
• Does Dirac-Born-Infeld Modification Of Quadratic Theories Really Matter?
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• Viability of Arctan Model of f(R) Gravity for Late-time Cosmology
• Numerical Analysis of Galactic Rotation Curves
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• Modified Brans-Dicke theory with space-time anisotropic parameters
• Propagation and lensing of gravitational waves in Palatini $f(\hat{R})$ gravity
• The gravitational field outside a spatially compact stationary source in a generic fourth-order theory of gravity
• Extended Gravity Constraints at Different Scales
• Generalized Einstein-Maxwell field equations in the Palatini formalism
• The gyroscopic frequency of metric $f(R)$ and generalised Brans-Dicke theories: constraints from Gravity Probe-B
• Hamiltonian analysis of metric-affine-$R^2$ theory
• A New f(R) Model in the Light of Local Gravity Test and Late-time Cosmology
• Non-singular Universes a la Palatini
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• Cosmological and astrophysical applications of modified theories of gravity
• Palatini approach to bouncing cosmologies and DSR-like effects
• f(R) cosmological solutions with varying speed of light
• Correspondence between modified gravity and 5D Ricci-flat cosmologies
• Spontaneously Induced General Relativity: Holographic Interior for Reissner-Nordstrom Exterior
• Gravitational waveforms from inspiral compact binaries in Hybrid metric-Palatini gravity
• Surface configuration in $R+{\mu }^4/R$ gravity
• The Equivalence and/or the Effacing principle in $f\left(R\right)$ theories of gravity
• Analytic solution of the algebraic equation associated to the Ricci tensor in extended Palatini gravity
• Extended Theories of Gravity in cosmological and astrophysical applications