Publication date: Nov 2016
Abstract:
In this work we have obtained the set of new exact solutions of the
Einstein equations that generalize the known Lemaitre-Tolman-Bondi
solution for the certain case of nonzero pressure under zero spatial
curvature. These solutions are pretending to describe the black hole
immersed in the nonstatic cosmological background and give a possibility
to investigate the problems concerning the effects of the cosmological
expansion in gravitationally bounded systems. They may also be used as a
seed models in the problem of structure formation in the universe at the
epoch of matter and radiation decoupling. It was shown that each of the
solutions obtained contains either the Reissner-Nordstrom or the
Schwarzschild black hole in the central region of the space. It is
demonstrated that the approach of the mass function use in solving the
Einstein equations allows clear physical interpretation of the resulting
solutions that is of much benefit to any their further application.
Authors:
Kopteva, E.; Jaluvkova, P.; Stuchlik, Z.;