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...

}-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....

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...

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

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...

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...

interpretation proved vital to the general theory of relativity, wherein spacetime is curved by mass and energy. Non-relativistic classical mechanics treats time...

covariant derivative. The four-current appears in two equivalent formulations of Maxwell's equations, in terms of the four-potential when the Lorenz gauge...

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

widely used in applications of micromagnetics such as models of magnetic storage devices as in computer memory. Starting from Maxwell's equations and assuming...

resulting in an induced EMF called the transformer EMF , as described by the Maxwell–Faraday equation (one of the four modern Maxwell's equations). Both...

} 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...

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...

taken out of the integral. In the case of a point charged particle q moving at a constant velocity v, Maxwell's equations give the following expression...

(i.e., the ferromagnetic object is in direct contact with the pole of the magnet) is given by the Maxwell equation: F = B 2 A 2 μ 0 {\displaystyle F={{B^{2}A}...

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...

The way in which charges and currents (i.e. streams of charges) interact with the electromagnetic field is described by Maxwell's equations and the Lorentz...

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

{\displaystyle \mathbf {B} } . Using vector calculus and Maxwell's equations, symmetry is sought for in the terms containing E {\displaystyle \mathbf {E} }...

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

relation is specified by the Einstein field equations, a system of second-order partial differential equations. Newton's law of universal gravitation, which...

being part of the phenomenon of electromagnetism, as described by Maxwell's equations. Common phenomena are related to electricity, including lightning...

Two additional unit conversions for watt can be found using the above equation and Ohm's law. 1   W = 1   V 2 / Ω = 1   A 2 ⋅ Ω , {\displaystyle \mathrm...

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

the "manifestly covariant" tensor form. Maxwell's equations, when they were first stated in their complete form in 1865, would turn out to be compatible...

hdl:2060/19700015014. 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...

Clerk Maxwell's Work". clerkmaxwellfoundation.org. Archived from the original on 17 September 2017. Retrieved 4 September 2017. "Maxwell's equations and...

derived in a local form from gauge invariance of the wave function. The conservation of charge results in the charge-current continuity equation. More generally...