Analytical study of anisotropic compact star models
Abstract A simple classification is given of the anisotropic relativistic star models, resembling the one of charged isotropic solutions. On the ground of this database, and taking into account the conditions for physically realistic star models, a method is proposed for generating all such solution...
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2017-11-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5322-7 |
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doaj-3b839373325e41299fc6ca211416b9a22020-11-24T22:58:47ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-11-01771111210.1140/epjc/s10052-017-5322-7Analytical study of anisotropic compact star modelsB. V. Ivanov0Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of ScienceAbstract A simple classification is given of the anisotropic relativistic star models, resembling the one of charged isotropic solutions. On the ground of this database, and taking into account the conditions for physically realistic star models, a method is proposed for generating all such solutions. It is based on the energy density and the radial pressure as seeding functions. Numerous relations between the realistic conditions are found and the need for a graphic proof is reduced just to one pair of inequalities. This general formalism is illustrated with an example of a class of solutions with linear equation of state and simple energy density. It is found that the solutions depend on three free constants and concrete examples are given. Some other popular models are studied with the same method.http://link.springer.com/article/10.1140/epjc/s10052-017-5322-7 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
B. V. Ivanov |
spellingShingle |
B. V. Ivanov Analytical study of anisotropic compact star models European Physical Journal C: Particles and Fields |
author_facet |
B. V. Ivanov |
author_sort |
B. V. Ivanov |
title |
Analytical study of anisotropic compact star models |
title_short |
Analytical study of anisotropic compact star models |
title_full |
Analytical study of anisotropic compact star models |
title_fullStr |
Analytical study of anisotropic compact star models |
title_full_unstemmed |
Analytical study of anisotropic compact star models |
title_sort |
analytical study of anisotropic compact star models |
publisher |
SpringerOpen |
series |
European Physical Journal C: Particles and Fields |
issn |
1434-6044 1434-6052 |
publishDate |
2017-11-01 |
description |
Abstract A simple classification is given of the anisotropic relativistic star models, resembling the one of charged isotropic solutions. On the ground of this database, and taking into account the conditions for physically realistic star models, a method is proposed for generating all such solutions. It is based on the energy density and the radial pressure as seeding functions. Numerous relations between the realistic conditions are found and the need for a graphic proof is reduced just to one pair of inequalities. This general formalism is illustrated with an example of a class of solutions with linear equation of state and simple energy density. It is found that the solutions depend on three free constants and concrete examples are given. Some other popular models are studied with the same method. |
url |
http://link.springer.com/article/10.1140/epjc/s10052-017-5322-7 |
work_keys_str_mv |
AT bvivanov analyticalstudyofanisotropiccompactstarmodels |
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