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We first investigate the form the General Relativity Theory would have taken had the gravitational mass and the inertial mass of material objects been different. We then extend this analysis to electromagnetism and postulate an equivalence…

广义相对论与量子宇宙学 · 物理学 2020-01-09 Murat Özer

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…

广义相对论与量子宇宙学 · 物理学 2016-12-07 Friedrich W. Hehl , Yuri N. Obukhov

We propose a novel framework that interprets the electromagnetic field as a manifestation of spacetime pseudo-curvature, bridging electromagnetism with the geometric principles of general relativity. By introducing modified field equations,…

经典物理 · 物理学 2025-04-17 Faik Bouhrik , Tiju Thomas

Interesting phenomena and problems arising from the coupling of large-scale electromagnetic fields and spacetime curvature, are introduced and studied within this thesis. From electromagnetic wave propagation in curved spacetime to…

广义相对论与量子宇宙学 · 物理学 2024-03-05 Panagiotis Mavrogiannis

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Tajmar , C. de Matos

The coupling of the electromagnetic field to gravity is discussed. In the premetric axiomatic approach based on the experimentally well established conservation laws of electric charge and magnetic flux, the Maxwell equations are the same…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Friedrich W. Hehl , Yu. N. Obukhov

We study a Born-Infeld inspired model of gravity and electromagnetism in which both types of fields are treated on an equal footing via a determinantal approach in a metric-affine formulation. Though this formulation is a priori in conflict…

广义相对论与量子宇宙学 · 物理学 2022-05-03 Victor I. Afonso , Cecilia Bejarano , Rafael Ferraro , Gonzalo J. Olmo

We develop a theoretical framework that allows us to compare electromagnetism and gravitation in a fully covariant way. This new scenario does not rely on any kind of approximation nor associate objects with different operational meaning as…

广义相对论与量子宇宙学 · 物理学 2012-08-29 E. Goulart , F. T. Falciano

Linearized general relativity admits a formulation in terms of gravitoelectric and gravitomagnetic fields that closely parallels the description of the electromagnetic field by Maxwell's equations. For steady mass currents, this formalism…

广义相对论与量子宇宙学 · 物理学 2010-07-01 John Swain

It is shown that unification of gravity and electromagnetism can be achieved using an affine non-symmetric connection $\Gamma^\lambda_{\mu\nu} \neq \Gamma^\lambda_{\nu\mu}$ and $\Gamma_\mu = \Gamma^\lambda_{[\mu\lambda]}\neq 0$.…

广义相对论与量子宇宙学 · 物理学 2018-08-31 Partha Ghose

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Simon J. Clark , Robin W. Tucker

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Roland A. Puntigam , Claus Lämmerzahl , Friedrich W. Hehl

A new geometry, called General geometry, is constructed. It is proven that its the most simplest special case is geometry underlying Electromagnetism. Another special case is Riemannian geometry. Action for electromagnetic field and Maxwell…

综合物理 · 物理学 2007-05-23 Shervgi Shahverdiyev

The problem of unification of Gravitation and Electromagnetism in four dimensions; some new ideas involving mixtures of commuting and anti-commuting co-ordinates. Maxwell's equations are extracted in terms of the curvature of the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 G Filewood

The gravitomagnetic field is the force exerted by a moving body on the basis of the intriguing interplay between geometry and dynamics which is the analog to the magnetic field of a moving charged body in electromagnetism. The existence of…

广义相对论与量子宇宙学 · 物理学 2016-09-16 Behrooz Malekolkalami , Mehrdad Farhoudi

In the first part of the present work, we focus on the theory of gravitoelectromagnetism (GEM), and we derive the full set of equations and constraints that the GEM scalar and vector potentials ought to satisfy. We discuss important aspects…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Athanasios Bakopoulos , Panagiota Kanti

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…

广义相对论与量子宇宙学 · 物理学 2021-09-02 Viktor T. Toth

The main object of the proposed theory is not a pseudometric, but a symmetric affine connection on the Minkowski space. The coefficients of this connection have one upper and two lower indices. These coefficients are symmetric with respect…

高能物理 - 理论 · 物理学 2007-05-23 Yu. M. Zinoviev

A general affine connection has enough degrees of freedom to describe the classical gravitational and electromagnetic fields in the metric-affine formulation of gravity. The gravitational field is represented in the Lagrangian by the…

广义相对论与量子宇宙学 · 物理学 2008-03-03 Nikodem J. Poplawski

We discuss the linear gravitoelectromagnetic approach used to solve Einstein equations in the weak-field and slow-motion approximation, which is a powerful tool to explain, by analogy with electromagnetism, several gravitational effects in…

广义相对论与量子宇宙学 · 物理学 2021-11-23 Matteo Luca Ruggiero
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