Implications of non-analytical f(R) gravity at Solar-System scales

Abstract

We motivate and analyze the weak-field limit of a non-analytical Lagrangian for the gravitational field. After investigating the parameter space of the model, we impose constraints on the parameters characterizing this class of theories imposed by Solar-System data, i.e. we establish the validity range where this solution applies and refine the constraints by the comparison with planetary orbits. As a result, we claim that this class of models is viable within different astrophysical scales.

9 pages, no figures

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Cited by in corpus (15)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Gravitational Perfect Fluid Collapse in f(R) Gravity
• Updated constraints on $f(\mathcal{R})$ gravity from cosmography
• Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity
• Gödel-type universes in f(R) gravity
• Quadrupolar gravitational radiation as a test-bed for f(R)-gravity
• Testing Theories of Gravity with Planetary Ephemerides
• Gödel-type universes in Palatini f(R) gravity
• Cosmography and large scale structure by f(R) gravity: new results
• Quantum Dynamics of the Isotropic Universe in the Metric f(R) Gravity
• Constraining A String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets
• A Note on the Strong Hyperbolicity of $f(R)$ Gravity with Dynamical Shifts
• On the Viability of a Non-Analytical f(R)-Theory
• Non-analytical power law correction to the Einstein-Hilbert action: gravitational wave propagation