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We investigate the possibility that the behavior of the rotational velocities of test particles gravitating around galaxies can be explained in the framework of modified gravity models with non-minimal matter-geometry coupling. Generally,…

General Relativity and Quantum Cosmology · Physics 2010-05-28 T. Harko

We write the Mathisson-Papapetrou equations of motion for a spinning particle in a stationary spacetime using the quasi-Maxwell formalism and give an interpretation of the coupling between spin and curvature. The formalism is then used to…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Jose Natario

We establish a new self-consistent system of equations accounting for a non-minimal interaction of gravitational, electromagnetic and axion fields. The procedure is based on a non-minimal extension of the standard Einstein-Maxwell-axion…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alexander B. Balakin , Wei-Tou Ni

In this work, by employing the exterior algebra formalism, we study the matter coupling in Minimal Massive 3D Gravity (MMG) by first considering that the matter Lagrangian is connection-independent and then considering that the matter…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Hakan Cebeci

In conventional Maxwell--Lorentz electrodynamics, the propagation of light is influenced by the metric, not, however, by the possible presence of a torsion T. Still the light can feel torsion if the latter is coupled nonminimally to the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Guillermo F. Rubilar , Yuri N. Obukhov , Friedrich W. Hehl

In this paper we generalize our previous results on spin connection for the linear scalar cosmological perturbation in $f(T)$ theory to wider class of theories which includes a scalar field $\Phi$ non-minimally coupled to torsion, and…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Alexey V. Toporensky , Petr V. Tretyakov

In this paper, we explore the existence of various non-singular compact stellar solutions influenced by the Maxwell field within the matter-geometry coupling based modified gravity. We start this analysis by considering a static spherically…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Tayyab Naseer , Jackson Levi Said

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

We study the coupling of the non-minimal ghost fields of the pure spinor superstring in general curved backgrounds. The coupling is found solving the consistent relations from the nilpotency of the non-minimal BRST charge.

High Energy Physics - Theory · Physics 2015-06-23 Osvaldo Chandia , Brenno Carlini Vallilo

Modified gravity theories with a nonminimal coupling between curvature and matter offer a compelling alternative to dark energy and dark matter by introducing an explicit interaction between matter and curvature invariants. Two of the main…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Francisco S. N. Lobo , Tiberiu Harko , Miguel A. S. Pinto

It is shown the antisymmetric part of the metric tensor is the potential for the spin field. Various metricity conditions are discussed and comparisons are made to other theories, including Einstein's. It is shown in the weak field limit…

General Relativity and Quantum Cosmology · Physics 2019-01-17 Richard T Hammond

The geometrical formulation of gravity is not unique and can be set up in a variety of spacetimes. Even though the gravitational sector enjoys this freedom of different geometrical interpretations, consistent matter couplings have to be…

High Energy Physics - Theory · Physics 2020-05-04 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi Koivisto

We discuss the theoretical basis for the search of the possible experimental manifestations of the torsion field at low energies. First, the quantum field theory in an external gravitational field with torsion is reviewed. The…

High Energy Physics - Theory · Physics 2007-05-23 Ilya L. Shapiro

The connection between $f(R)$ theories of gravity and scalar-tensor models with a "physical" metric coupled to the scalar field is well known. In this work, we pursue the equivalence between a suitable scalar theory and a model that…

General Relativity and Quantum Cosmology · Physics 2009-01-01 O. Bertolami , J. 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

Requiring both that a proposed localization-density operator be linear in quantum theory and that its expectation value be covariant leads to addition of terms in the Hamiltonian, coupling a scalar field to a connection on the…

Mathematical Physics · Physics 2020-04-03 Ross N. Greenwood

It has been shown for low-spin fields that the use of only the self-dual part of the connection as basic variable does not lead to extra conditions or inconsistencies. We study whether this is true for more general chiral action. We…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. Tsuda , T. Shirafuji , H. -j. Xie

How to detect spacetime torsion? In this essay we provide the theoretical basis for an answer to this question. Multipolar equations of motion for a very general class of gravitational theories with nonminimal coupling in spacetimes…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Dirk Puetzfeld , Yuri N. Obukhov

We consider first order perturbation theory for a non-minimally coupled inflaton field without assuming an adiabatic equation of state. In general perturbations in non-minimally coupled theory may be non-adiabatic. However under the…

High Energy Physics - Phenomenology · Physics 2013-01-10 Abhishek Basak , Jitesh R. Bhatt

A cosmological model where a fermion field is non-minimally coupled with the gravitational field is studied. By applying Noether symmetry the possible functions for the potential density of the fermion field and for the coupling are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rudinei C. de Souza , Gilberto M. Kremer
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