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Related papers: Aspects of the Einstein-Maxwell-Weyl coupling

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We present a formulation of Einstein--Maxwell vacuum fields due to plane fronted electromagnetic waves sharing their wave fronts with gravitational waves. This is based on a recent geometrical reconstruction of plane fronted wave fields by…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Peter A. Hogan , Dirk Puetzfeld

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar to the gauge covariance of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Robin W Tucker , Charles Wang

By constructing a model of spacetime having a strong curvature singularity in which causal geodesics are complete, but more generic causal curves are not, we explicitly show that some electrostatic field configurations on that background…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Franco Fiorini , Juan Manuel Paez

We study a host of spacetimes where the Weyl curvature may be expressed algebraically in terms of an Abelian field strength. These include Type D spacetimes in four and higher dimensions which obey a simple quadratic relation between the…

High Energy Physics - Theory · Physics 2020-10-28 Rashid Alawadhi , David S. Berman , Bill Spence

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

Beyond the Newtonian approximation, gravitational fields in general relativity can be described using a formalism known as gravitoelectromagnetism. In this formalism a vector potential, the gravitomagnetic potential, arises as a result of…

General Relativity and Quantum Cosmology · Physics 2021-09-02 Viktor T. Toth

Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general $RF^2$-type non-minimal coupling terms. Here $R$ denotes…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Kıvanç İ. Ünlütürk , Cem Yetişmişoğlu

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

A linear vector model of gravitation is introduced in the context of quantum physics as a generalization of electromagnetism. The gravitoelectromagnetic gauge symmetry corresponds to a hyperbolic unitary extension of the usual complex phase…

General Relativity and Quantum Cosmology · Physics 2014-07-01 S. Ulrych

The existence of twisted light may be inferred from modern quantum concepts and experimental data. These waves possess energy, impulse and angular momentum. However, the Maxwell's four-dimensional theory of electromagnetism does not imply…

Classical Physics · Physics 2015-06-04 Yuriy A. Portnov

The aim of this paper is to formulate a {\it non--commutative geometrical} version of the classical electromagnetic field theory in the vacuum with the Moyal--Weyl algebra as the space--time by using the theory of quantum principal bundles…

Quantum Algebra · Mathematics 2025-11-05 Gustavo Amilcar Saldaña Moncada

We revisit Weyl's metrication (geometrization) of electromagnetism. We show that by making Weyl's proposed geometric connection be pure imaginary, not only are we able to metricate electromagnetism, an underlying local conformal invariance…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Philip D. Mannheim

We consider the dynamics of electromagnetic fields in an almost-Friedmann-Robertson-Walker universe using the covariant and gauge-invariant approach of Ellis and Bruni. Focusing on the situation where deviations from the background model…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Mattias Marklund , Peter K. S. Dunsby , Gert Brodin

Einstein Equivalence Principle (EEP) requires all matter components to universally couple to gravity via a single common geometry: that of spacetime. This relates quantum theory with geometry as soon as interactions with gravity are…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Ashkan Alibabaei

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 consider the unification problem for the gravitational and electromagnetic interactions and its possible solution on the basis of the existence of an effective Riemannian space in nonlinear electrodynamics

General Relativity and Quantum Cosmology · Physics 2010-12-15 Alexander A. Chernitskii

In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a…

General Physics · Physics 2018-05-01 R. S. Vieira , H. B. Brentan

Gravitoelectromagnetic analogies are somewhat ubiquitous in General Relativity, and they are often used to explain peculiar effects of Einstein's theory of gravity in terms of familiar results from classical electromagnetism. Perhaps, the…

General Relativity and Quantum Cosmology · Physics 2023-11-20 Matteo Luca Ruggiero , Davide Astesiano

The phenomenological consequences of unification of Einstein gravity and electromagnetism in an early phase of a Machian universe with a very small and uniform electrical charge density $\rho_q$ are explored. A form of the Strong…

General Relativity and Quantum Cosmology · Physics 2015-02-13 Partha Ghose
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