Applications of Adapted Frames to the Geometry of Black Holes

Abstract

In this paper is presented an introduction into the theory of space-time modelled on anholonomic vector bundles in case when the dimension of fibre is one. The nonlinear connections, d-linear connections compatible with pseudo-Riemannian metric and Einstein equations are presented, following R. Miron and M. Anastasiei {[}13]. We study the solutions of four dimensional Einstein equations in vacuum, which describes the static spherically symmetric black holes. The second class of black holes will have elliptic cylindrical horizontal. Some properties are studied in {[}18], {[}19].