2019/03/17 by Riccardo March, Orfeu Bertolami, March, Riccardo +5
Earth and Planetary Sciences · Physics and Astronomy · #Astro and Planetary Science #Cosmology and Gravitation Theories #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements
paper · pdf · doi:10.48550/arxiv.1903.07059
openalex publication_date 2019/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss constraints to some nonminimally (NMC) coupled curvature-matter models of gravity by means of Solar System experiments. First we discuss a NMC gravity model which constitutes a natural extension of 1/Rn gravity to the nonminimally coupled case. Such a NMC gravity model is able to predict the observed accelerated expansion of the Universe. Differently from the f(R)=1/Rn gravity case, which is not compatible with Solar System observations, it turns out that this NMC model is a viable theory of gravity. Then we consider a further NMC gravity model which admits Minkowski spacetime as a background, and we derive the 1/c expansion of the metric. The nonrelativistic limit of the model is not Newtonian, but contains a Yukawa correction. We look for trajectories around a static, spherically symmetric body. Since in NMC gravity the energy-momentum tensor of matter is not conserved, then the trajectories deviate from geodesics. We use the NMC gravity model to compute the perihelion precession of planets and we constrain the parameters of the model from radar observations of Mercury.