The exact spherically symmetric static sol utions that describes anisotropic liquid

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...

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Main Author: A. N. Turinov
Format: Article
Language:English
Published: National Aviation University 2000-10-01
Series:Вісник Астрономічної школи
Online Access:http://astro.nau.edu.ua/issues/2000_V.1_Iss.1/051.html
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author A. N. Turinov
author_facet A. N. Turinov
author_sort A. N. Turinov
collection DOAJ
description 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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spelling doaj.art-1a86fea02b6149a39533dfe02801c0422022-12-22T03:38:39ZengNational Aviation UniversityВісник Астрономічної школи1607-28552411-66022000-10-0111515810.18372/2411-6602.01.10512411-6602.01.1051The exact spherically symmetric static sol utions that describes anisotropic liquidA. N. Turinov0Dnipropetrovsk State University, UkraineMethod 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.http://astro.nau.edu.ua/issues/2000_V.1_Iss.1/051.html
spellingShingle A. N. Turinov
The exact spherically symmetric static sol utions that describes anisotropic liquid
Вісник Астрономічної школи
title The exact spherically symmetric static sol utions that describes anisotropic liquid
title_full The exact spherically symmetric static sol utions that describes anisotropic liquid
title_fullStr The exact spherically symmetric static sol utions that describes anisotropic liquid
title_full_unstemmed The exact spherically symmetric static sol utions that describes anisotropic liquid
title_short The exact spherically symmetric static sol utions that describes anisotropic liquid
title_sort exact spherically symmetric static sol utions that describes anisotropic liquid
url http://astro.nau.edu.ua/issues/2000_V.1_Iss.1/051.html
work_keys_str_mv AT anturinov theexactsphericallysymmetricstaticsolutionsthatdescribesanisotropicliquid
AT anturinov exactsphericallysymmetricstaticsolutionsthatdescribesanisotropicliquid