Field theoretical models of nonsingular compact objects

A method for testing linear stability of the anisotropic structures with the de Sitter interior is proposed. It was shown that from a lagrangian, field-theoretic description, one can obtain stable, compact astrophysical objects that at large distances behave as black hole mimickers but, unlike black holes, possess neither curvature singularities nor event horizons. Two models are presented: 1) lagrangian of the scalar field which is nonminimally coupled to gravity (the so called boson stars), and 2) lagrangian of the multi- component scalar field that generates a topologically stable global monopole (the so called D (defect) – stars). In the first model, a dark energy like stars are obtained, while in the second model an object with large compactness is obtained and as such represents a good black hole mimicker.