IX Black Hole Workshop

Guimarães 19-20 December 2016

This work is devoted to the formation of self-consistent equations of the theory of induced gravity in the presence of matter that interacts with scalar fields. Investigation of the solutions of these equations is carried out for the cases of the cosmological models and of a spherically symmetric space - time. In this model time-evolving gravitational and cosmological ''constants'' take place which are determined by the square of scalar fields. The values of which can be matched with the observational data. The equations that describe the theory have solutions that can both match with the solutions of the standard theory of gravity as well as it can differ from it. This is due to the fact that the fundamental 'constants' of the theory, such as gravitational and cosmological, can evolve over time and also depend of the coordinates. Thus, in a rather general case the theory describes the two systems (stages): Einstein and 'evolving' or 'restructuring' . This process is similar to the phenomenon of phase transition, where the different phases (Einstein gravity system, but with different constants) transit into each other. References [1] F.Zaripov,(2014) Astrophys. Space Sci. Volume 352,: pp. 289-305, DOI:10.1007/s 10509-014-1909-8.