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We investigate a phenomenological non-gravitational coupling between dark energy and dark matter, where the interaction in the dark sector is parameterized as an energy transfer either from dark matter to dark energy or the opposite. The…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-11 Riccardo Murgia , Stefano Gariazzo , Nicolao Fornengo

In this study, the cosmological implications of nonminimally coupled $f(Q)$ gravity are examined within the metric-affine formalism, in which the nonmetricity scalar $Q$ couples directly to the matter Lagrangian. Within the symmetric…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Simran Arora , Mridul Patel

Recent analysis of the Planck measurements opened a possibility that we live in a non-flat universe. Given the renewed interest in non-zero spatial curvature, here we re-visit the light propagation in a non-flat universe and provide the…

Cosmology and Nongalactic Astrophysics · Physics 2022-09-02 Sandra Baumgartner , Jaiyul Yoo

In this paper, we consider a nonminimal coupling model between gravity and nonlinear electrodynamics with cosmological constant. This cosmological model is designed to account for both the inflationary epoch of the early universe and the…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Chilwatun Nasiroh , Ramy F. Izzah , Fiki T. Akbar , Bobby E. Gunara

General Relativity assumes that spacetime is fully described by the metric alone. An alternative is the so called Palatini formalism where the metric and the connections are taken as independent quantities. The metric-affine theory of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas P. Sotiriou , Stefano Liberati

Any non-gravitational coupling between dark matter and dark energy modifies the cosmological dynamics. Interactions in the dark sector are considered to be relevant to address the coincidence problem. Moreover, in various models the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 W. Zimdahl

Symmetric teleparallel gravity and its $f(Q)$ extensions have emerged as promising alternatives to General Relativity (GR), yet the role of explicit geometry-matter couplings remains largely unexplored. In this work, we address this gap by…

General Relativity and Quantum Cosmology · Physics 2025-09-22 Ayush Hazarika , Simran Arora , P. K. Sahoo , Tiberiu Harko

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

We develop a Lagrangian formulation for gravity with matter where the gravitational couplings are universally treated as being field-dependent. The solutions for FLRW geometries and the associated time evolution of the Newton and…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Sandipan Sengupta

Over the past decade, f(R) theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of f(R) theories to cosmology and gravity - such as inflation, dark…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Antonio De Felice , Shinji Tsujikawa

In this work we study how nonminimally coupled theories of gravity modify the usual Friedmann equation, and develop two methods to treat these. The ambiguity in the form of the Lagrangian density of a perfect fluid is emphasized, and the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Orfeu Bertolami , Jorge Páramos

The generalized Duffin-Kemmer-Petiau equation in curved space-time is proposed for non-minimal coupling to the curvature and external fields. The corresponding scalar and vector fields equation are found. Equations are presented, which are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yu. V. Pavlov

Modifications to gravity that add additional functions of the Ricci curvature to the Einstein-Hilbert action -- collectively known as $f(R)$ theories -- have been studied in great detail. When considered as complete theories of gravity they…

Astrophysics · Physics 2009-02-20 Simon DeDeo , Dimitrios Psaltis

This paper determines the existence of Noether symmetry in non-minimally coupled $f(R,T)$ gravity admitting minimal coupling with scalar field models. We consider a generalized spacetime which corresponds to different anisotropic and…

General Relativity and Quantum Cosmology · Physics 2017-04-26 M. Sharif , Iqra Nawazish

In the present study, we consider an extended form of teleparallel Lagrangian $f(T,\phi,X)$, as function of a scalar field $\phi$, its kinetic term $X$ and the torsion scalar $T$. We use linear perturbations to obtain the equation of matter…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Habib Abedi , Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Tsutomu Kobayashi , Shinji Tsujikawa

We present an analysis of the phase space of cosmological models based on a non minimal coupling between the geometry and a fermionic condensate. We obtain that the strong constraint coming from the Dirac equations allows a detailed design…

General Relativity and Quantum Cosmology · Physics 2018-04-20 Sante Carloni , Stefano Vignolo , Roberto Cianci

Using the observation data of SNeIa, CMB and BAO, we establish two concrete $f(T)$ models with nonminimal torsion-matter coupling extension. We study in detail the cosmological implication of our models and find they are successful in…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Chao-jun Feng , Fei-fei Ge , Xin-zhou Li , Rui-hui Lin , Xiang-hua Zhai

A previous work found that a nonminimally coupled theory of gravity can, under appropriate conditions, give rise to an additional contribution to the field equations interpreted as dark matter [1]: in particular, the density of this dark…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Aníbal Silva , Jorge Páramos

We derive the equations of motion of test bodies for a theory with nonminimal coupling by means of a multipole method. The propagation equations for pole-dipole particles are worked out for a gravity theory with a very general coupling…

Astrophysics · Physics 2008-12-30 Dirk Puetzfeld , Yuri N. Obukhov
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