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This article contains a digest of the theory of electromagnetism and a review of the transformation between inertial frames, especially under low speed limits. The covariant nature of the Maxwell's equations is explained using the…

经典物理 · 物理学 2022-05-03 Hao Chen , Wei E. I. Sha , Xi Dai , Yue Yu

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in…

高能物理 - 理论 · 物理学 2010-11-19 Diego D. Dalvit , Francisco D. Mazzitelli , Carmen Molina-Paris

The Einstein postulates assert an invariance of the propagation speed of light in vacuum for any observer, and which amounts to a presumed absence of any preferred frame. The postulates appear to be directly linked to relativistic effects…

综合物理 · 物理学 2007-08-07 Reginald T. Cahill

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

综合物理 · 物理学 2007-05-23 Yehea I. Ismail

Using the Einstein gravitation theory (EGT) we calculate the Schwarzschild metric that is defined in the surrounding vacuum of a spherically symmetric mass distribution, not in rotation. The field equations of the EGT with this metric were…

广义相对论与量子宇宙学 · 物理学 2010-05-25 M. Cattani

In the wave equation obeyed by electromagnetic fields in curved spacetime there are Riemann and Ricci curvature coupling terms to the photon polarisation, which result in a polarisation dependent deviation of the photon trajectories from…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Subhendra Mohanty , A. R. Prasanna

Simply by assuming the first postulate of Special Relativity and by exploring Gedankenexperiments with electromagnetic forces, we suggest that there is a speed limit in the universe, which can be determined as a relation between vacuum…

经典物理 · 物理学 2018-11-06 Sergio Eduardo Silva Duarte , Nathan Willig Lima

A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

综合物理 · 物理学 2013-05-30 D. H. Sattinger

The evolution equations of Einstein's theory and of Maxwell's theory---the latter used as a simple model to illustrate the former--- are written in gauge covariant first order symmetric hyperbolic form with only physically natural…

广义相对论与量子宇宙学 · 物理学 2010-04-06 A. Abrahams , A. Anderson , Y. Choquet-Bruhat , J. W. York

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

This note represents a stepping stone from the discovery of the precise mathematical formula for electromagnetic field generated by a moving point charge, the amended Feynman formula, see Bogdan arXiv:0909.5240, and leading to the to the…

数学物理 · 物理学 2009-10-07 Victor M. Bogdan

In \cite{2} it was shown that Einstein's special theory of relativity and Maxwell's field theory have mathematically equivalent dual versions. The dual versions arise from an identity relating observer time to proper time as a contact…

综合物理 · 物理学 2022-08-24 Tepper L. Gill , Gonzalo Ares de Parga , Trey Morris , Mamadou Wade

From the Einstein field equations, in a weak-field approximation and for speeds small compared to the speed of light in vacuum, the following system is obtained \begin{align*} \nabla \times \overrightarrow{E_g} & = -\frac{1}{c}…

We study the electromagnetic field equations on an arbitrary quantum curved background in the semiclassical approximation of Loop Quantum Gravity. The effective interaction hamiltonian for the Maxwell and gravitational fields is obtained…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Carlos Kozameh , Florencia Parisi

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections. The corresponding Hamiltonian is defined…

高能物理 - 理论 · 物理学 2009-11-07 Jorge Alfaro , Hugo A. Morales-Técotl , Luis F. Urrutia

The velocity of light is invariant under transformations that alter space-time metrics, while leaving Maxwell's equations invariant. A one-parameter special conformal invariance group of the equations exposes an ambiguity in current…

数学物理 · 物理学 2013-03-14 Carl E. Wulfman

In this chapter, we will review the field-theoretic treatment of General Relativity based on an effective field theory extension of the Einstein-Hilbert action. This pragmatic route to low-energy quantum effects in gravity critically…

高能物理 - 理论 · 物理学 2022-12-20 N. Emil J. Bjerrum-Bohr , Ludovic Planté , Pierre Vanhove

Using the Finite Difference Time Domain method, we solve Maxwell's equations numerically and compute the distribution of electromagnetic fields and forces inside material media. The media are generally specified by their dielectric…

光学 · 物理学 2013-08-19 Masud Mansuripur , Armis R. Zakharian , Ewan M. Wright

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…

综合物理 · 物理学 2018-05-01 R. S. Vieira , H. B. Brentan

In order to test the Einstein gravitation theory (EGT) we compare their predictions with the measured results in the following phenomena: the perihelion advance of planets, deflection of light, radar echo delays around the Sun and an…

广义相对论与量子宇宙学 · 物理学 2010-07-02 M. Cattani