Solar System Tests in Brans-Dicke and Palatini f(R)-theories

Abstract

We compare Mercury's precession test in standard General Relativity (GR), Brans-Dicke theories (BD), and Palatini f(R)-theories. We avoid post Newtonian (PN) approximation and compute exact precession in these theories. We show that the well-known mathematical equivalence between Palatini f(R)-theories and a specific subset of BD theories does not extend to a really physical equivalence among theories since equivalent models still allow different incompatible precession for Mercury depending on the solution one chooses. As a result one cannot use BD equivalence to rule out Palatini f(R)-theories. On the contrary, we directly discuss that Palatini f(R)-theories can (and specific models do) easily pass Solar System tests as Mercury's precession.

22 pages, 2 figures

References in corpus (10)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Exploring the Dark Energy Redshift Desert with the Sandage-Loeb Test
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Fake Conformal Symmetry in Conformal Cosmological Models
• Study of the $e^{+}{e}^{-}\to \eta \gamma$ process with SND detector at the VEPP-2M $e^{+}{e}^{-}$ collider
• Extended Gravity
• The generally covariant meaning of space distances

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