Some subtleties of Riemannian geometry

Details Some subtleties of Riemannian geometry Some subtleties of Riemannian geometry

2008-12-15

arxiv.org/abs/0812.2833v2

Physics

General Physics

7 pages, 0 figures

Scientific paper

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 $\sigma_{M}$ by the world function $\sigma_R$ of the Riemannian space-time in the solution.

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