Structure of Black Hole and Big Bang Singularities

A new approach is described on studying the dynamical structure of the gravitational singularity in the black holes and especially big bang. This is accomplished, in part, by a McGehee regularization map. Current work by the speaker and BingKan Xue is discussed which addresses realistic physical modeling. An interesting condition is derived, necessary for solution extensions through the big bang. This methodology, in part, was applied in an earlier work with Frans Pretorius for Schwarzschild black holes. Here are two relevant papers:

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