Parallel translation in warped product spaces: application to the Reissner Nordström spacetime

Physics

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Scientific paper

A formal treatment of the parallel translation transformations in warped product manifolds is presented and related to those parallel translation transformations in each of the factor manifolds. A straightforward application to the Schwarzschild and Reissner Nordström geometries, considered here as particular examples, explains some apparently surprising properties of the holonomy in these manifolds.

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