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In this article we analyze the predictions of the Einstein gravitation theory (EGT) on black holes in the framework of the Schwarzschild geometry that is defined in the vacuum around a spherically symmetric mass distribution, without charge, not in rotation. The Eddington and Kruskal metrics have been also taken unto account and the topological connections named wormholes have been analyzed. This article was written to graduate and postgraduate students of Physics.

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