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A set of four equations that define electrodynamics. They comprise the Gauss laws for the electric and magnetic fields, the Faraday law, and the Ampère law. Together, these equations uniquely determine the electric and magnetic fields of a physical system. DO NOT USE THIS TAG for the Maxwell-Boltzmann distribution, or the thermodynamical equations known as Maxwell's relations.
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From geodesic motion of photons to Maxwell equations in curved spacetime
In curved spacetime, 1.) a photon is supposed to move along a null-geodesic, i.e., a trajectory $x^{\mu} = x^{\mu}(\lambda)$ satisfying $$\frac{d^{2}x^{\rho}}{d\lambda^2} + \Gamma^{\rho}{}_{\mu\nu}\fr …