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Gravitational models with non-minimal couplings involving functions of the matter Lagrangian and curvature have become popular in recent decades. By coupling the matter Lagrangian directly to the gravitational Lagrangian, one hopes to…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Christian G. Boehmer , Erik Jensko , Eissa Al-Nasrallah

We study a theory which generalizes the nonminimal coupling of matter to gravity by including derivative couplings. This leads to several interesting new dynamical phenomena in cosmology. In particular, the range of parameters in which…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luca Amendola

We perform a phase space analysis of a non-minimally coupled modified gravity theory with the Lagrangian density of the form $\frac{1}{2} f_{1}(R)+[1+\lambda f_{2}(R)]{{\cal{L}}_{m}}$, where $f_1(R)$ and $f_2(R)$ are arbitrary functions of…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Tahereh Azizi , Emad Yaraie

Motivated by their potential role as dark matter, we study the cosmological evolution of light scalar and vector fields non-minimally coupled to gravity. Our focus is on a situation where the dominant contribution to the energy density…

High Energy Physics - Phenomenology · Physics 2020-03-04 Gonzalo Alonso Álvarez , Joerg Jaeckel , Thomas Hugle

Gravitational waves in the presence of a non-minimal curvature-matter coupling are analysed, both in the Newman-Penrose and perturbation theory formalisms. Considering a cosmological constant as a source, the non-minimally coupled…

General Relativity and Quantum Cosmology · Physics 2018-05-03 Orfeu Bertolami , Cláudio Gomes , Francisco S. N. Lobo

Recently, in the context of f(R) modified theories of gravity, it was shown that a curvature-matter coupling induces a non-vanishing covariant derivative of the energy-momentum, implying non-geodesic motion and, under appropriate…

General Relativity and Quantum Cosmology · Physics 2008-11-19 Orfeu Bertolami , Tiberiu Harko , Francisco S. N. Lobo , Jorge Páramos

We examine $f(R, \text{Matter})$ theories that directly couple the curvature $R$ or $R_{\mu\nu}$ with the matter sector in the action, in addition to the universal coupling. We argue that if the matter sector includes the Standard Model…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Osmin Lacombe , Shinji Mukohyama , Josef Seitz

Non-minimally coupled f(R) gravity model is an interesting approach to explain the late time acceleration of the Universe without introducing any exotic matter component in the energy budget of the Universe. But distinguishing such model…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-25 Shruti Thakur , Anjan A Sen

Over the past century, General Relativity (GR) has been a cornerstone of gravitational theory. However, recent cosmological observations, such as the accelerated expansion of the Universe, challenge its completeness and the standard…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Lakhan V. Jaybhaye

We consider the modified gravity non-minimally coupled with matter Lagrangian for the description of early-time and late-time universe. Such $F(R)$ ($F(G)$) gravity in the absence of non-minimal coupling is viable theory which passes the…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov , Petr V. Tretyakov

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

In this paper, we fully investigate cosmological scenarios in which dark matter is non-minimally coupled to an extra scalar degree of freedom. The interaction is realized by means of conformal and disformal terms in the transformed…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-02 Fabio Chibana , Rampei Kimura , Masahide Yamaguchi , Daisuke Yamauchi , Shuichiro Yokoyama

Non-minimal couplings between the electromagnetic field strength and the spacetime curvature are part of the effective field theory of gravity and matter. They alter the local propagation of light in a significant way if the ratio of…

High Energy Astrophysical Phenomena · Physics 2025-11-07 Raúl Carballo-Rubio , Héloïse Delaporte , Astrid Eichhorn , Pedro G. S. Fernandes

In this work we study how a nonminimal coupling between matter and gravity can modify the structure of a homogeneous spherical body. The physical relevance of the adopted Lagrangian density is ascertained, with results obtained for two…

General Relativity and Quantum Cosmology · Physics 2014-11-19 Orfeu Bertolami , Jorge Páramos

In this study, we explore how a non-minimal coupling between dark matter and gravity can affect the behavior of dark matter in galaxy clusters. We have considered the case of a disformal coupling, which leads to a modification of the…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-30 Saboura Zamani , Vincenzo Salzano , Dario Bettoni

We present a novel theory of gravity, namely, an extension of symmetric teleparallel gravity. This is done by introducing a new class of theories where the nonmetricity $Q$ is coupled nonminimally to the matter Lagrangian. This nonminimal…

General Relativity and Quantum Cosmology · Physics 2019-01-04 Francisco S. N. Lobo , Tiberiu Harko , Tomi S. Koivisto , Gonzalo J. Olmo , Diego Rubiera-Garcia

We study inflationary scenarios driven by a scalar field in the presence of a non-minimal coupling between matter and curvature. We show that the Friedmann equation can be significantly modified when the energy density during inflation…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Cláudio Gomes , João G. Rosa , Orfeu Bertolami

In this work the phenomenology of models possessing a non-minimal coupling between matter and geometry is discussed, with a particular focus on the possibility of describing the flattening of the galactic rotation curves as a dynamically…

Astrophysics of Galaxies · Physics 2015-05-18 Orfeu Bertolami , Jorge Páramos

We generalize the mechanism for gravitational baryogensis in the context of $f(R)$ theories of gravity, including a nonminimal coupling between curvature and matter. In these models, the baryon asymmetry is generated through an effective…

General Relativity and Quantum Cosmology · Physics 2017-11-22 M. P. L. P. Ramos , J. Páramos

In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Behnaz Fazlpour