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Nonminimally coupled curvature-matter gravity models and Solar System constraints

Title
Nonminimally coupled curvature-matter gravity models and Solar System constraints
Type
Article in International Conference Proceedings Book
Year
2022
Authors
March, R
(Author)
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Bertolami, O
(Author)
FCUP
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Paramos, J
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Dell'Agnello, S
(Author)
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Conference proceedings International
15th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, MG 2018
Rome, 1 July 2018 through 7 July 2018
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Publicação em Scopus Scopus - 0 Citations
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Authenticus ID: P-00S-GB4
Abstract (EN): 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. © Relativistic Field Theories, MG 2018. All rights reserved.
Language: English
Type (Professor's evaluation): Scientific
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