**Publication date:** Nov 2016

**Abstract:**

In this work we have obtained the set of new exact solutions of Einstein

equations that generalize the known LTB solution for the particular case

of nonzero pressure under zero spatial curvature. These solutions are

pretending to describe the black hole immersed in nonstatic cosmological

background and give a possibility to investigate the hot problems

concerning the effects of the cosmological expansion in gravitationally

bounded systems and other related problems. 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 concrete application.

**Authors:**

Kopteva, E.; Jaluvkova, P.; Stuchlik, Z.;