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...

displacement current term. The resulting equation, often called the Ampère–Maxwell law, is one of Maxwell's equations that form the foundation of classical...

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...

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

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

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

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

in the literature to refer to two closely related but physically distinct statements. One is the Maxwell–Faraday equation, one of Maxwell's equations...

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...

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...

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...

} 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...

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...

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...

can be described mathematically as a function of time by the following equation: v ( t ) = V peak sin ⁡ ( ω t ) {\displaystyle v(t)=V_{\text{peak}}\sin(\omega...

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...

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

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

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

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

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

to the other two Maxwell's equations (the ones that are not automatically satisfied) results in a complicated differential equation that can be simplified...

(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}...

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...

with SR in four-dimensional flat Minkowski space, and not curved space nor GR. It is possible to formulate quantum field theory in curved spacetime, yet...