On the Properties of the Geometry of Spacetime for Distributions of Self-Gravitating Extreme Matter

Abstract

Within the framework of the general theory of relativity, we investigate all possible astrophysical and geometrical effects induced by self-gravitating extreme matter in the form of ideal fluids with limiting and superlimiting equations of state or in the form of strongly nonlinear physical fields. Attention is directed to the possibility of the formation of wormholes and other unusual astrophysical objects.