Astronomical School’s Report, 2000, Volume 1, Issue 1, Pages 51–58

https://doi.org/10.18372/2411-6602.01.1051
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UDC 520.12

The exact spherically symmetric static sol utions that describes anisotropic liquid

Turinov A.N.

Dnipropetrovsk State University, Ukraine

Abstract

Method for constructing the solutions of the Einstein equations for spherically symmetric distribution of anisotropic matter is examined. In comoving frame radial and tangential components of the pressure that we have assumed proportional one to the other. Under this condition the common solution in quadratures is presented. Some exact analytical solutions are obtained. The possibilities of build-up of the two-layer static spherical configurations are researched. In this configurations the core is featured by isotropic solution, envelop – anisotropic solution, external space – Schwarzschild solution.

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