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Abstract: Many cosmological observations call for the existence of dark matter. Themost direct evidence for dark matter is inferred from the measured flatness ofgalactic rotation curves. The latter is based on Newtonian gravity. Alternativeapproaches to the rotation curve problem by means of general relativity haverecently been put forward. The class of models of interest is a subset of theaxially symmetric and stationary solutions of Einstein-s equations withrotating dust. As a step toward the understanding of general relativisticgalaxy models, we analyse rigidly as well as non-rigidly rotatingPost-Newtonian spacetimes. We find that the Newtonian limit of the consideredgeneral relativistic galaxy model leads to Post-Newtonian terms in the metric.



Autor: Aleksandar Rakic, Dominik J. Schwarz

Fuente: https://arxiv.org/







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