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Cosmological implications of a class of hybrid metric-Palatini gravity with a non-minimal matter-geometry coupling is considered. The theory contains a metric curvature tensor, together with a curvature tensor constructed from an…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Reza Jalali , Shahab Shahidi , Mohammad Hossein Zhoolideh Haghighi

Scalar fields coupled to gravity through the Ricci scalar have been considered both as dark matter candidates and as a possible modified gravity explanation for galactic dynamics. It has recently been demonstrated that the dynamics of…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-04 Clare Burrage , Edmund J. Copeland , Christian Käding , Peter Millington

We survey the landscape of $f(R)$ theories of gravity in their various formulations, which have been used to model the cosmic acceleration as alternatives to dark energy and dark matter. Besides, we take into account the problem of…

General Relativity and Quantum Cosmology · Physics 2015-05-14 S. Capozziello , M. De Laurentis , V. Faraoni

Scalar-tensor theories of gravity modify General Relativity by introducing a scalar field that couples non-minimally to the metric tensor, while satisfying the weak-equivalence principle. These theories are interesting because they have the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 David Anderson , Nicolas Yunes

Among many alternative gravitational theories to General Relativity (GR), $f(R,T)$ gravity (where $R$ is the Ricci scalar and $T$ the trace of the energy-momentum tensor) has been widely studied recently. By adding a matter contribution to…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Hermano Velten , Thiago R. P. Caramês

We revisit the issue of the correct Lagrangian description of a perfect fluid (pressure versus minus energy density) in relation with modified gravity theories in which galactic luminous matter couples nonminimally to the Ricci scalar.…

Astrophysics of Galaxies · Physics 2010-04-23 Valerio Faraoni

We discuss the propagation of gravitational waves over a non-Riemannian spacetime, when a non-minimal coupling between the geometry and matter is considered in the form of contractions of the energy momentum tensor with the Ricci and…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Flavio Bombacigno , Fabio Moretti , Gonzalo J. Olmo

A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Charro Gruver , Richard Hammond , P. F. Kelly

The correspondence between $f(R)$ theories of gravity and model theories explaining induced dark energy in a 5D Ricci-flat universe, known as the Space-Time-Matter theory (STM), is studied. It is shown that such correspondence may be used…

General Relativity and Quantum Cosmology · Physics 2009-02-12 F. Darabi

Allowing the energy of a gravitational field to serve partially as its own source allows gravitating bodies to exhibit stronger fields, as if they were more massive. Depending on degree of compaction of the body, the field could be one to…

Astrophysics · Physics 2013-01-29 Yousef Sobouti

The observed excess of gravitational forces in galaxies and galactic clusters is usually referred as the existence of "dark matter particles" of unknown origin. An alternative explanation of the dark matter effect is presented here by…

Cosmology and Nongalactic Astrophysics · Physics 2011-10-04 Arkady Z. Dolginov

We study scalar, fermionic and gauge fields coupled nonminimally to gravity in the Einstein-Cartan formulation. We construct a wide class of models with nondynamical torsion whose gravitational spectra comprise only the massless graviton.…

High Energy Physics - Theory · Physics 2021-09-22 Georgios K. Karananas , Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

We study the correspondence between two theoretical frameworks for describing dark energy, $f(R)$ gravity and higher-dimensional Space-Time-Matter (STM) or induced-matter theory. We show that the Hubble expansion parameter in $f(R)$ gravity…

General Relativity and Quantum Cosmology · Physics 2010-05-12 K. Atazadeh , F. Darabi , H. R. Sepangi

In this work we investigate several theoretical and phenomenological implications of a scalar -$F(R)$ gravity containing a non-minimal coupling to the scalar curvature. This kind of model is a generalization of axion-$F(R)$ gravity models,…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Pedro G. S. Fernandes

Static (not stationary) solutions of the Einstein-Klein-Gordon (EKG) equations including matter are obtained for real scalar fields. The scalar field interaction with matter is considered. The introduced coupling allows the existence of…

General Relativity and Quantum Cosmology · Physics 2020-07-28 Alejandro Cabo Montes de Oca , Duvier Suarez Fontanella

We investigate the radial behavior of galactic rotation curves by a Fourth Order Gravity adding also the Dark Matter component. The Fourth Order Gravity is a Lagrangian containing the Ricci scalar, the Ricci and Riemann tensor, but the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 A. Stabile , G. Scelza

We introduce a large class of scalar-tensor theories where gravity becomes stronger at large distances via the exchange of a scalar that mixes with the graviton. At small distances, i.e. large curvature, the scalar is screened via an analog…

High Energy Physics - Theory · Physics 2010-02-17 E. Babichev , C. Deffayet , R. Ziour

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

The coupling between matter and gravity in General Relativity is given by a proportionality relation between the stress tensor and the geometry. This is an oriented assumption driven by the fact that both the stress tensor and the Einstein…

General Relativity and Quantum Cosmology · Physics 2012-09-04 Térence Delsate , Jan Steinhoff