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We investigate the properties of vacuum decay taking into account a non-minimal coupling to gravity. We extend the standard thin-wall solution to include the non-minimal coupling and verify its validity by comparison with a full numerical…

High Energy Physics - Phenomenology · Physics 2017-01-23 Olga Czerwińska , Zygmunt Lalak , Marek Lewicki , Paweł Olszewski

In this paper we show that power-law inflation can be realized in non-minimal gravitational coupling of electromagnetic field with a general function of Gauss-Bonnet invariant. Such a non-minimal coupling may appear due to quantum…

High Energy Physics - Theory · Physics 2009-11-10 J Sadeghi , M R Setare , A Banijamali

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

In this paper, we investigate the propagation of axial gravitational waves in the background of the flat FRW universe in $f(R,T)$ theory. The field equations are obtained for unperturbed as well as axially perturbed FRW metric. These field…

General Relativity and Quantum Cosmology · Physics 2018-09-26 M. Sharif , Aisha Siddiqa

It is known that in f(R) theories of gravity with an independent connection which can be both non-metric and non symmetric, this connection can always be algebraically eliminated in favour of the metric and the matter fields, so long as it…

General Relativity and Quantum Cosmology · Physics 2010-11-03 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

Modified theories of gravity have been invoked recently as an alternative to dark energy, in an attempt to explain the apparent accelerated expansion of the universe at the present time. In order to describe inhomogeneities in cosmological…

General Relativity and Quantum Cosmology · Physics 2016-04-15 Adam J. Christopherson

We consider a model where a light scalar field (with mass $\lesssim 30\, {\rm eV}$), conjectured to be dark matter, has a non-minimal coupling to gravity. In the non-relativistic limit, this new coupling introduces a self-interaction term…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-24 Lingyuan Ji

We study the phenomenology associated to non-minimally coupled dark matter. In particular, we consider the model where the non-minimal coupling arises from the formation of relativistic Bose-Einstein condensates in high density regions of…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Dimitar Ivanov , Stefano Liberati

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 $1/R^n$ gravity to the…

General Relativity and Quantum Cosmology · Physics 2019-03-19 Riccardo March , Orfeu Bertolami , Jorge Páramos , Simone Dell'Agnello

In the context of massive (bi-)gravity non-minimal matter couplings have been proposed. These couplings are special in the sense that they are free of the Boulware-Deser ghost below the strong coupling scale and can be used consistently as…

High Energy Physics - Theory · Physics 2018-06-18 Xian Gao , Lavinia Heisenberg

In this study, we analyze the dynamics of the interaction between dark matter and curvature-driven dark energy in viable $f(R)$ gravity models using the framework of dynamical system analysis. We incorporate this interaction by introducing…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Anirban Chatterjee , Rahul Roy , Sayantan Dey , Abhijit Bandyopadhyay

We have constructed a non-relativistic theory of quantum mechanics based on local modulus symmetry. The resulting connection in the covariant derivative is identified as the escape velocity of the gravitational field. A new real and…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Tao Zhou

We investigate whether a non-minimal coupling between dark matter and gravity can influence the internal dynamics of ultra-diffuse galaxies. Within this framework, the gravitational potential is modified by an additional term that captures…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-17 Saboura Zamani , Vincenzo Salzano , Dario Bettoni

We study cosmological dynamics of an extended gravitational theory that gravity is coupled non-minimally with derivatives of a dark energy component and there is also a phenomenological interaction between the dark energy and dark matter.…

General Relativity and Quantum Cosmology · Physics 2016-05-20 Kourosh Nozari , Noushin Behrouz

We consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. More specifically, the motion is non-geodesic and takes place in the presence of an extra force. These models could lead…

General Relativity and Quantum Cosmology · Physics 2012-11-05 Francisco S. N. Lobo , Tiberiu Harko

The paper extends basic Einstein--Hilbert action by adding a newly proposed invariant constructed from a specific contraction between the Einstein tensor and the energy momentum tensor, encoding a non--minimal coupling between the…

General Relativity and Quantum Cosmology · Physics 2023-02-09 Mihai Marciu , Dana Maria Ioan

Theories of gravity are fundamentally a relation between matter and the geometric structure of the underlying spacetime. So once we put some additional restrictions on the spacetime geometry, the theory of gravity is bound to get the…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Tee-How Loo , Avik De , Simran Arora , P. K. Sahoo

Conformal transformations are frequently used tools in order to study relations between various theories of gravity and the Einstein relativity. In this paper we discuss the rules of these transformations for geometric quantities as well as…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Mariusz P. Dabrowski , Janusz Garecki , David B. Blaschke

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

We discuss non-minimally coupled cosmologies involving different geometric invariants. Specifically, actions containing a non-minimally coupled scalar field to gravity described, in turn, by curvature, torsion and Gauss--Bonnet scalars are…

General Relativity and Quantum Cosmology · Physics 2021-11-29 Francesco Bajardi , Salvatore Capozziello
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