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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

A system of field equations for an Einstein-Maxwell model with $RF^2$-type nonminimal coupling in a non-Riemannian space-time with a non-vanishing torsion is derived and the resulting field equations are expressed in terms of the Riemannian…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Ahmet Baykal , Tekin Dereli

We give the Lagrangian formulation of a generic non-minimally extended Einstein-Maxwell theory with an action that is linear in the curvature and quadratic in the electromagnetic field. We derive the coupled field equations by a first order…

General Relativity and Quantum Cosmology · Physics 2011-03-21 T. Dereli , O. Sert

We construct a symmetric teleparallel gravity model which is non-minimally coupled with electromagnetic field in four dimensions inspired by its Riemannian equivalent. We derive the field equations by taking the variation of this model,…

General Relativity and Quantum Cosmology · Physics 2024-08-05 Beyda Doyran , Özcan Sert , Muzaffer Adak

We investigate non-minimal $R^\beta F^2$-type couplings of electromagnetic fields to gravity. We derive the field equations by a first order variational principle using the method of Lagrange multipliers. Then we present various static,…

General Relativity and Quantum Cosmology · Physics 2011-09-20 Tekin Dereli , Özcan Sert

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

We investigate the non-minimal couplings between the electromagnetic fields and gravity through the natural logarithm of the curvature scalar. After we give the Lagrangian formulation of the non-minimally coupled theory, we derive field…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Tekin Dereli , Özcan Sert

We establish a new self-consistent system of equations accounting for a nonminimal coupling of the cooperative gravitational, electromagnetic and pseudoscalar (axion) fields in a multi-component relativistic plasma. The axionic extension of…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Alexander B. Balakin , Ruslan K. Muharlyamov , Alexei E. Zayats

We analyse the asymptotic symmetries of electromagnetism non-minimally coupled to scalar fields, with non-minimal couplings of the Fermi type that occur in extended supergravity models. Our study is carried out at spatial infinity where…

High Energy Physics - Theory · Physics 2024-10-02 Oscar Fuentealba , Marc Henneaux , Jules Mas

We study symmetry properties of the Einstein-Maxwell theory nonminimaly coupled to the dilaton field. We consider a static case with pure electric (magnetic) Maxwell field and show that the resulting system becomes a nonlinear sigma-model…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Oleg V. Kechkin , Maria V. Yurova

The nonminimal coupling of the kinetic term to Einstein's tensor helps the implementation of inflationary models due to the gravitationally enhanced friction. We calculate the parametrized post-Newtonian (PPN) parameters for the…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Zhu Yi , Yungui Gong

Mathematical modeling of gravitating configurations of physical fields is one of the priority directions of the modern theory of gravity. Most of the exact solutions constructed within the framework of the general relativity are static or…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Ju V Tchemarina , E G Alekseeva , A N Tsirulev , N K Nuraliev

Electromagnetic duality is discussed in the context of Einstein-Maxwell-scalar (EMS) models including axionic-type couplings. This family of models introduces two non-minimal coupling functions $f(\phi)$ and $g(\phi)$, depending on a real…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Carlos A. R. Herdeiro , João M. S. Oliveira

We investigate the gravitational models with the non-minimal $Y(R)F^2$ coupled electromagnetic fields to gravity, in order to describe charged compact stars, where $Y(R) $ denotes a function of the Ricci curvature scalar $R$ and $F^2$…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Özcan Sert

The coupling of the electromagnetic field to gravity is an age-old problem. Presently, there is a resurgence of interest in it, mainly for two reasons: (i) Experimental investigations are under way with ever increasing precision, be it in…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Friedrich W. Hehl , Yuri N. Obukhov

In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields. The family comprises all covariant electromagnetic models that satisfy the following…

Analysis of PDEs · Mathematics 2016-01-20 Jared Speck

The "measurability" of the non-minimal coupling is discussed by considering the correction to the Newtonian static potential in the semi-classical approach. The coefficient of the "gravitational Darwin term" (GDT) gets redefined by the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Accioly , H. Blas

A symmetry analysis is presented for the three-dimensional nonrelativistic motion of charged particles in arbitrary stationary electromagnetic fields. The general form of the Lie point symmetries is found along with the fields that respect…

Mathematical Physics · Physics 2015-06-15 Nikos Kallinikos , Efthymia Meletlidou

We study a tachyon model with non-minimal derivative coupling to gravity in the Friedmann-Robertson-Walker flat cosmology. We propose the special re-definition of the tachyon field which allows us to represent tachyon field equation…

General Relativity and Quantum Cosmology · Physics 2012-09-13 V. K. Shchigolev , M. P. Rotova

We study nonminimal extensions of Einstein-Maxwell theory with exact electromagnetic duality invariance. Any such theory involves an infinite tower of higher-derivative terms whose computation and summation usually represents a challenging…

High Energy Physics - Theory · Physics 2021-11-17 Pablo A. Cano , Ángel Murcia
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