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....

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

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

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...

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

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...

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

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

} 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...

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...

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 of...

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...

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

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 effect is measured), see figure below. The starting point is Maxwell's equations in the potential formulation using the Lorenz gauge: ◻ φ = ρ ϵ 0 ,...

first magnet in the demagnetizing field Hd(2) of the second is The reciprocity theorem states that Formally, the solution of the equations for the potential...

direction of velocity in the problem. Agreement with Maxwell's equations can also be manually verified for the above two equations. The Coulomb potential...

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

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

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...

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

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...

it is summarized by London constitutive equations. It was put forward by the brothers Fritz and Heinz London in 1935, shortly after the discovery that...

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

(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}...

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