Some subtleties of Riemannian geometry

2008/12/15 by Rylov, Yuri A.
#FOS: Physical sciences #General Physics (physics.gen-ph)

paper · doi:10.48550/arxiv.0812.2833

Abstract

It is shown, that the conventional presentation of the Maxwell equations for the electromagnetic field in the Riemannian space-time appears to be problematic. The reason of hesitations is the fact, that a solution of the Maxwell equations in the space-time of Minkowski do not turn into solution of the Maxwell equations in the Riemannian space-time after replacement of Minkowskian world function σ_M by the world function σ_R of the Riemannian space-time in the solution.

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