Generalization of Tolman–Bondi solution

Abstract

In this work the model of Schwarzschild black hole in the universe filled by dust-like matter is built on the basis of found generalization of Tolman–Bondi solution. A set of possible solutions for this model was analyzed with help of mass function method and it was shown that proposed solutions cannot describe the model under consideration.

Keywords

• Schwarzschild's model of black hole
• analytical solutions