In physics, Maxwell's equations in curved spacetime govern the dynamics of the electromagnetic field in curved spacetime (where the metric may not be the...

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...

general as Maxwell's equations in curved spacetime or non-rectilinear coordinate systems. Lorentz tensors of the following kinds may be used in this article...

}-m)\Psi .} Dirac equation in the algebra of physical space Dirac spinor Maxwell's equations in curved spacetime Two-body Dirac equations Lawrie, Ian D....

In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution...

electromagnetism Maxwell's equations in curved spacetime Abraham–Lorentz force Green's function Jackson 1998, p. 246 James Clerk Maxwell, "A Dynamical Theory...

the particular solutions to Maxwell's equations for any arbitrary distribution of charges and currents. Jefimenko's equations give the electric field E...

current term, resulting in the modern form of the law, sometimes called the Ampère–Maxwell law, which is one of Maxwell's equations that form the basis of...

use. Maxwell's equations also inspired Albert Einstein in developing the theory of special relativity. The experimental proof of Maxwell's equations was...

} Maxwell's equations reduce to the single equation Maxwell's equations (STA formulation) ∇ F = μ 0 c J . {\displaystyle \nabla F=\mu _{0}cJ.} In what...

electric motors, generators and solenoids. The Maxwell–Faraday equation (listed as one of Maxwell's equations) describes the fact that a spatially varying...

electromagnetic field Maxwell's equations Maxwell's equations in curved spacetime General relativity Einstein field equations Magnetohydrodynamics Vector...

Consistent with Maxwell's Equations" (PDF). Progress in Electromagnetics Research B. 64: 83–101. doi:10.2528/PIERB15100606. Based upon equations from Gray,...

to the electric polarization P. In the absence of free electric currents and time-dependent effects, Maxwell's equations describing the magnetic quantities...

changing magnetic field; see Maxwell's equations). The generalization of electric potential to this case is described in the section § Generalization...

These equations are sometimes referred to as the curved space Maxwell equations. Again, the second equation implies charge conservation (in curved spacetime):...

in the case of ordinary resistive materials. Ohm's work long preceded Maxwell's equations and any understanding of frequency-dependent effects in AC...

special solution of the Einstein field equations. Specifically, they are a transcendental bijection of the spacetime continuum, an asymptotic projection...

France. Vol. 6. Paris. Heras, J. A. (2010). "The Galilean limits of Maxwell's equations". American Journal of Physics. 78 (10): 1048–1055. arXiv:1012.1068...

description is more closely tied to Maxwell's equations as an evolution equation for the electric field exists. Hall In 1960, M. J. Lighthill criticized...

In mathematical physics, a closed timelike curve (CTC) is a world line in a Lorentzian manifold, of a material particle in spacetime, that is "closed"...

can be deduced from Maxwell's equations, and is therefore many times faster than the drift velocity of the electrons. For example, in AC power lines, the...

This equation is the principle behind an electrical generator. By way of contrast, Gauss's law for electric fields, another of Maxwell's equations, is...

This process culminated in the 1860s with the discovery of Maxwell's equations, a set of four partial differential equations which provide a complete...

In electromagnetism, displacement current density is the quantity ∂D/∂t appearing in Maxwell's equations that is defined in terms of the rate of change...

the circuit is in DC steady state. Such a circuit is represented by a system of differential equations. The solution to these equations usually contain...

important parameter in Ampère's circuital law (one of Maxwell's equations), which relates current density to magnetic field. In special relativity theory...

Heaviside's version (see Maxwell–Faraday equation below) is the form recognized today in the group of equations known as Maxwell's equations. In 1834 Heinrich Lenz...

the SI Maxwell's equations) as a factor that relates total electric currents and time-varying electric fields to the B field they generate. In order to...

Maxwell's use of differential equations to describe it in his A Treatise on Electricity and Magnetism (1873). The development of electromagnetism in Europe...