To sum up, the aforementioned transportation equations, NP field equations and Maxwell-NP equations together constitute the Einstein-Maxwell equations in Newman Penrose formalism.
42.
In the framework of general relativity the Maxwell equations or the Einstein field equations have the same form in arbitrary frames of reference.
43.
Then, you solve the Maxwell equations again for the same system, only now it's moving at a constant speed in a constant direction.
44.
Which are similar to the Maxwell equations ( when written in tensor notation ), more specifically the Yang Mills equations for quarks and gluons.
45.
Space there has to be absolutely undisturbed by the not yet arrived beam, and this would contradict with any solution of the Maxwell equations.
46.
The captain says the laser could not work in this universe because, the laser beam as all electromagnetic waves has to obey the Maxwell equations.
47.
The " macroscopic " Maxwell equations define two new auxiliary fields that describe the large-scale behaviour of matter without having to consider atomic scale details.
48.
The first Maxwell equation is satisfied automatically if we define the field tensor in terms of an electromagnetic potential vector \ vec { A }.
49.
This idea was elaborated by Hermann Minkowski, who used it to restate the Maxwell equations in four dimensions, showing directly their invariance under the Lorentz transformation.
50.
Popular variations on the Maxwell equations as a classical theory of electromagnetic fields are relatively scarce because the standard equations have stood the test of time remarkably well.
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