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The effect of gravity in Maxwell's equations is often treated as a medium property. The commonly used formulation is based on managing Maxwell's equations in exactly the same form as in Minkowski spacetime and expressing the effect of…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Jai-chan Hwang , Hyerim Noh

The existence of magnetic fields in the universe is unmistakable. They are observed at all scales from stars to galaxy clusters. However, the origin of these fields remains enigmatic. It is believed that magnetic field seeds may have…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Orfeu Bertolami , Maria Margarida Lima , Filipe C. Mena

Using the weak field approximation, we can express the theory of general relativity in a Maxwell-type structure comparable to electromagnetism. We find that every electromagnetic field is coupled to a gravitoelectric and gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. de Matos

Gravitational wave interferometers have studied compact object mergers and solidified our understanding of strong gravity. Their increasing precision raises the possibility of detecting new physics, especially in a neutron star binary…

High Energy Physics - Phenomenology · Physics 2026-03-09 Ian Harris , Yonatan Kahn

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant $G$, a vector field coupling $\omega$ and the vector field mass $\mu$ to vary with space and time. The equations of motion for a test…

General Relativity and Quantum Cosmology · Physics 2021-11-22 J. W. Moffat

In the presence of an electromagnetic (EM) field the space-time metrics are affected by the field potential. The principle of superposition, which usually rules EM fields, is no longer valid for the biggest fields and Maxwell's equations,…

General Physics · Physics 2023-12-27 Pierre Marx

Within the context of a $5D$ space-time, we construct a unified theory of gravity and electromagnetism from which the Einstein field equations and Maxwell equations emerge, with homogenous Maxwell equations appearing naturally. We also…

General Relativity and Quantum Cosmology · Physics 2010-06-17 A. Borzou , H. R. Sepangi

Gravitational vector degrees of freedom typically arise in many examples of modified gravity models. We start to systematically explore their role in these scenarios, studying the effects of coupling gravitational vector and scalar degrees…

High Energy Physics - Theory · Physics 2015-06-16 Gianmassimo Tasinato , Kazuya Koyama , Nima Khosravi

The constraint equations in Maxwell theory are investigated. In analogy with some recent results on the constraints of general relativity it is shown, regardless of the signature and dimension of the ambient space, that the "divergence of a…

General Relativity and Quantum Cosmology · Physics 2018-12-27 István Rácz

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

In the most general formulation of gravity, the metric and connection are independent degrees of freedom, and the connection may include torsion and non-metricity (or distortion, collectively) degrees of freedom, resulting in a huge number…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Kazunori Nakayama

We present a comprehensive investigation of cosmological constraints on the class of vector field formulations of modified gravity called Generalized Einstein-Aether models. Using linear perturbation theory we generate cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-25 J. Zuntz , T. G. Zlosnik , F. Bourliot , P. G. Ferreira , G. D. Starkman

We present a detailed study of the cosmological evolution in general vector-tensor theories of gravity without potential terms. We consider the evolution of the vector field throughout the expansion history of the universe and carry out a…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-24 Jose Beltran Jimenez , Antonio L. Maroto

Effective Riemann space effect of vacuum nonlinear electrodynamics is considered in the context of theory for unified gravitation and electromagnetism. The electromagnetic four-vector potential in the scope of Born-Infeld nonlinear…

General Relativity and Quantum Cosmology · Physics 2010-06-30 Alexander A. Chernitskii

The notion that the electromagnetic field is quantised is usually inferred from observations such as the photoelectric effect and the black-body spectrum. However accounts of the quantisation of this field are usually mathematically…

Quantum Physics · Physics 2015-11-06 Robert Bennett , Thomas M. Barlow , Almut Beige

We construct a generic class of models for complex scalar fields -- minimally coupled to gravity and electromagnetism -- with the property that their energy-momentum tensor and the electric current vanish for certain massive configurations.…

High Energy Physics - Theory · Physics 2023-03-24 Cristian Quinzacara , Paola Meza , Almeira Sampson , Mauricio Valenzuela

Maxwell's equations comprise both electromagnetic and gravitational fields. The transverse part of the vector potential belongs to magnetism, the longitudinal one is concerned with gravitation. The Coulomb gauge indicates that longitudinal…

General Physics · Physics 2007-05-23 V. P. Dmitriyev

Despite the success of Maxwell's electromagnetism in the description of the electromagnetic interactions on small scales, we know very little about the behaviour of electromagnetic fields on cosmological distances. Thus, it has been…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-07 Jose Beltran Jimenez , Antonio L. Maroto

In the framework of the teleparallel equivalent of general relativity, we study the dynamics of a gravitationally coupled electromagnetic field. It is shown that the electromagnetic field is able not only to couple to torsion, but also,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 V. C. de Andrade , J. G. Pereira

It is shown that Einstein gravity tends to modify the electric and magnetic fields appreciably at distances of the order of the Compton wavelength. At that distance the gravitational field becomes spin dominated rather than mass dominated.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kjell Rosquist