1209.6324 (Nikolai V. Mitskievich)

On eternal black holes and some interior solutions    [PDF]

Nikolai V. Mitskievich

In this article we deduce two new exact solutions of Einstein's equa- tions for eternal black holes, now related to sti? matter, one `static' and another rotating (stationary like the Kerr one), thus the num- ber of these eternal solutions grows from four to six. Dealing with these static and rotating solutions we automatically rehabilitate the practically forgotten Sommerfeld{Lenz approach to the deduction of our results for the satisfaction of Einstein's equations, e.g., in these rotating cases. At the same time, we come to the con?rmation of our new relativistic generalization of the inertial/gravitational mass equiv- alence principle, as well as to obtention of the Kerr interior solution.

View original: http://arxiv.org/abs/1209.6324