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We investigate the consequences of the ambiguity of minimal coupling procedure for Einstein-Cartan gravity with Holst term and fermions. A new insight is provided into the nature and physical relevance of coupling procedures considered…

General Relativity and Quantum Cosmology · Physics 2009-12-11 Marcin Kaźmierczak

We investigate the cosmological model with complex scalar self-interacting inflaton field non-minimally coupled to gravity. The different geometries of the Euclidean classically forbidden regions are represented. The instanton solutions of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. Yu. Kamenshchik , I. M. Khalatnikov , A. V. Toporensky

We propose a phenomenological model in which a non-minimal coupling between gravity and dark matter is present in order to address some of the apparent small scales issues of \lcdm model. When described in a frame in which gravity dynamics…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-24 Dario Bettoni , Valeria Pettorino , Stefano Liberati , Carlo Baccigalupi

The problem of nonuniqueness of minimal coupling procedure for Einstein--Cartan (EC) gravity with matter is investigated. It is shown that the predictions of the theory of gravity with fermionic matter can radically change if the freedom of…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Marcin Kazmierczak

We consider a gravitational theory with an additional non-minimal coupling between baryonic matter fields and geometry. The coupling is second order in the energy momentum tensor and can be seen as a generalization of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Shahab Shahidi

It is well known that only the axial piece of the torsion couples minimally to fermions in a Riemann-Cartan geometry, while the other ones decouple. In this paper, we consider the Dirac field minimally coupled to a dynamical background with…

General Relativity and Quantum Cosmology · Physics 2022-02-28 J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

From a variational action with non-minimal coupling with a scalar field and classical scalar and fermionic interaction, cosmological field equations can be obtained. Imposing a FLRW metric the equations lead directly to a cosmological model…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Samuel Lepe , Javier Lorca , Francisco Peña , Yerko Vásquez

We discuss the quantum dynamics of the Dirac fermion particle in a gauge gravitational field. The minimal as well as the Pauli-type nonminimal coupling of a fermion with external fields is studied, bringing into consideration the notions of…

High Energy Physics - Theory · Physics 2015-02-02 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

In this work a new non-minimally coupled model is presented, where a generic function $f(R)$ of the scalar curvature factors the usual Einstein-Hilbert action functional, motivated by relevant results obtained from similar models. Its…

General Relativity and Quantum Cosmology · Physics 2016-11-22 R. P. L. Azevedo , J. Páramos

We study a scalar-tensor cosmological model where the Einstein tensor is non-minimally coupled to the free scalar field dynamics. Using FRW metric, we investigate the behavior of scale factor for vacuum, matter and dark energy dominated…

General Relativity and Quantum Cosmology · Physics 2015-08-06 F. Darabi , A. Parsiya

We will consider the least-order torsional completion of gravity for a spacetime filled with fermionic Dirac matter fields, and we study the effects of the background-induced non-linear potentials for the matter field themselves in view of…

General Relativity and Quantum Cosmology · Physics 2014-12-16 Luca Fabbri

We study cosmological consequences of the noncommutative approach to the standard model. Neglecting the nonminimal coupling of the Higgs field to the curvature, noncommutative corrections to Einstein's equations are present only for…

High Energy Physics - Theory · Physics 2010-05-12 William Nelson , Mairi Sakellariadou

The observed small, positive cosmological constant may originate from a four-fermion interaction generated by the spin-torsion coupling in the Einstein-Cartan-Sciama-Kibble gravity if the fermions are condensing. In particular, such a…

General Relativity and Quantum Cosmology · Physics 2012-02-28 Nikodem J. Poplawski

Non-thermal fermionic particle production is investigated in Einstein-Cartan modified gravity with a modified Holst term and non-minimal couplings between the spin connection and a fermion. By using the auxiliary field method, the theory is…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Tomohiro Inagaki , Naoki Yoshioka

We derive the interaction of fermions with a dynamical space-time based on the postulate that the description of physics should be independent of the reference frame, which means to require the form-invariance of the fermion action under…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Jürgen Struckmeier , David Vasak

In $F(T)$ gravity theory, a Friedman-Robertson-Walker cosmological model with $f$-essence where fermion field is non-minimally coupled with the gravitational field is studied. Using the Noether symmetry approach the possible forms of $F(T)$…

General Physics · Physics 2016-01-28 Kairat Myrzakulov , Pyotr Tsyba , Ratbay Myrzakulov

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

The role of spin-torsion coupling to gravity is analyzed in the context of a model of chaotic inflation. The system of equations constructed from the Einstein-Cartan and inflaton field equations are studied and it is shown that spin-torsion…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade , R. O. Ramos

Non-minimal actions with matter represented by a scalar field coupled to gravity are considered in the context of a homogeneous and isotropic universe. The coupling is of the form $-\xi/2 \phi^2 R$. The possibility of successful inflation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald , Mikhail Kagan

A new cosmological theory is proposed in the theoretical framework of modified gravity theories which is based on a tachyonic field non-minimally coupled with a specific topological invariant constructed with third order contractions of the…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Mihai Marciu