Astronomical School’s Report, 2012, Volume 8, Issue 1, Pages 31–33

https://doi.org/10.18372/2411-6602.08.1031
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UDC 524.8

Generalization of Tolman–Bondi solution

Korkina M.P., Kopteva E.M.

Dnipropetrovsk National University, Ukraine

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

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