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We extend the analysis of Chiba, Smith and Erickcek \cite{CSE} of Solar System constraints on $f(R)$ gravity to a class of nonminimally coupled (NMC) theories of gravity. These generalize $f(R)$ theories by replacing the action functional…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Orfeu Bertolami , Riccardo March , Jorge Páramos

The effects of a nonminimally coupled curvature-matter model of gravity on a perturbed Minkowski metric are presented. The action functional of the model involves two functions $f^1(R)$ and $f^2(R)$ of the Ricci scalar curvature $R$. This…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Riccardo March , Jorge Páramos , Orfeu Bertolami , Simone Dell'Agnello

We develop a framework for constraining a certain class of theories of nonminimally coupled (NMC) gravity with Solar System observations.

General Relativity and Quantum Cosmology · Physics 2015-06-19 Orfeu Bertolami , Riccardo March , Jorge Páramos

We consider a non-minimally coupled curvature-matter gravity model (NMC) with a Weyl connection, a theory referred to as non-minimally coupled Weyl connection gravity (NMCWCG). The Weyl connection is an affine connection that is not…

General Relativity and Quantum Cosmology · Physics 2020-03-30 Rodrigo Baptista , Orfeu Bertolami

We investigate a non-minimally coupled scalar field theory within the framework of scalar-tensor gravity formulated in non-metricity geometry, focusing on spatially curved FLRW spacetimes. Employing the dynamical systems approach with…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Ghulam Murtaza , Avik De , Andronikos Paliathanasis

We consider a nonminimally coupled curvature-matter gravity theory at the Solar System scale. Both a fifth force of Yukawa type and a further non-Newtonian extra force that arises from the nonminimal coupling are present in the solar…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Riccardo March , Orfeu Bertolami , Marco Muccino , Claudio Gomes , Simone Dell'Agnello

In this work, we further study a metric modified theory of gravity which contains a non-minimal coupling to matter, more precisely, we assume two functions of the scalar curvature, $f_1$ and $f_2$, where the first one generalises the…

General Relativity and Quantum Cosmology · Physics 2021-03-31 María Ortiz-Baños , Mariam Bouhmadi-López , Ruth Lazkoz , Vincenzo Salzano

We consider the hypothesis of a limiting minimal curvature in gravity as a way to construct a class of theories exhibiting late-time cosmic acceleration. Guided by the minimal curvature conjecture (MCC) we are naturally lead to a set of…

Astrophysics · Physics 2010-10-27 Damien A. Easson

We construct an extension of f(T) gravity with the inclusion of a non-minimal torsion-matter coupling in the action. The resulting theory is a novel gravitational modification, since it is different from both f(T) gravity, as well as from…

General Relativity and Quantum Cosmology · Physics 2014-07-01 Tiberiu Harko , Francisco S. N. Lobo , G. Otalora , Emmanuel N. Saridakis

The objective of this work is to present the effects of a nonminimally coupled model of gravity on a Solar System short range regime. For this reason, this study is only valid when the cosmological contribution is considered irrelevant. The…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-11 Nuno Castel-Branco

The presently open problem of the Hubble tension is shown to be removed in the context of a modified theory of gravity with a non-minimal coupling between curvature and matter. By evolving the cosmological parameters that match the cosmic…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Miguel Barroso Varela , Orfeu Bertolami

Natural Inflation with non-minimal coupling (NMC) to gravity, embodied by a Lagrangian term $\xi \phi^2 R $, is investigated in the context of an extended gravity of the form $R+ \alpha R^2$. The treatment is performed in the Palatini…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 M. AlHallak , N. Chamoun , M. S. Eldaher

We considered non-minimally coupled curvature-matter models of gravity in a FRW universe filled with perfect fluid and investigated its cosmological implications in the light of Pantheon compilation of 1048 Supernovae Ia data points along…

General Relativity and Quantum Cosmology · Physics 2023-08-31 Biswajit Jana , Anirban Chatterjee , Kumar Ravi , Abhijit Bandyopadhyay

In this proceeding, we review modified theories of gravity with a curvature-matter coupling between an arbitrary function of the scalar curvature and the Lagrangian density of matter. This explicit nonminimal coupling induces a…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Francisco S. N. Lobo , Tiberiu Harko

We examine an extension of General Relativity with an explicit non-minimal coupling between matter and curvature. The purpose of this work is to present an overview of the implications of the latter to various contexts, ranging from…

General Relativity and Quantum Cosmology · Physics 2014-01-20 Orfeu Bertolami , Jorge Páramos

We analyze a cosmological solution to the field equations of a modified gravity model where curvature and matter are nonminimally coupled. The current Universe's accelerated expansion is driven by a cosmological constant while the impact of…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Riccardo March , Miguel Barroso Varela , Orfeu Bertolami , Giada Bargiacchi , Marco Muccino , Simone Dell'Agnello

In this Letter we construct the noncommutative (NC) gravity model on the $\theta$-constant NC space-time. We start from the NC $SO(2,3)_\star$ gauge theory and use the enveloping algebra approach and the Seiberg-Witten map to construct the…

High Energy Physics - Theory · Physics 2017-08-02 Marija Dimitrijevic Ciric , Biljana Nikolic , Voja Radovanovic

In this work we explore the viability of nonminimally coupled matter- curvature gravity theories, namely the conditions required for the absence of tachyon instabilities and ghost degrees of freedom. We contrast our finds with recent claims…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Orfeu Bertolami , Jorge Páramos

We numerically construct compact stars in the scalar-tensor theory of gravity with non-minimal derivative coupling of a scalar field to the curvature and nonzero cosmological constant. There are two free parameters in this model of gravity:…

General Relativity and Quantum Cosmology · Physics 2025-04-08 P. E. Kashargin , A. A. Lebedev , S. V. Sushkov

In the previous paper, we have constructed two $f(T)$ models with nonminimal torsion-matter coupling extension, which are successful in describing the evolution history of the Universe including the radiation-dominated era, the…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Rui-Hui Lin , Xiang-Hua Zhai , Xin-Zhou Li
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