Do Stokes' and Gauss's theorems hold in curved spacetime?

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Offline Dmitri Martila

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Do Stokes and Gauss's theorems from Vector Analyses hold also in curved space-time (or in the curved coordinates of a flat manifold)? These theorems (especially the Gauss's or the "Divergence" theorem) are ones of the utmost importance, especially for theoretical astrophysics. My opinion is in the file. Can you tell me what journal will accept this possible nonsense?