Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm

Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm

Abstract We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing the model parameters in our formulation, we generate...

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Main Authors: S. Thirukkanesh, F. C. Ragel, Ranjan Sharma, Shyam Das
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5526-5
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spelling doaj-815cea031a17411ebf9fcaa22c3078292020-11-25T01:38:53ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-017811910.1140/epjc/s10052-018-5526-5Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithmS. Thirukkanesh0F. C. Ragel1Ranjan Sharma2Shyam Das3Department of Mathematics, Eastern UniversityDepartment of Physics, Eastern UniversityDepartment of Physics, P. D. Women’s CollegeDepartment of Physics, P. D. Women’s CollegeAbstract We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing the model parameters in our formulation, we generate closed-form solutions which may be treated as an anisotropic generalization of a large class of solutions describing isotropic fluid spheres. From the resultant solutions, a particular solution is taken up to show its physical acceptability. Making use of the current estimate of mass and radius of a known pulsar, the effects of anisotropic stress on the gross physical behaviour of a relativistic compact star is also highlighted.http://link.springer.com/article/10.1140/epjc/s10052-018-5526-5
collection DOAJ
language English
format Article
sources DOAJ
author S. Thirukkanesh
F. C. Ragel
Ranjan Sharma
Shyam Das
spellingShingle S. Thirukkanesh
F. C. Ragel
Ranjan Sharma
Shyam Das
Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
European Physical Journal C: Particles and Fields
author_facet S. Thirukkanesh
F. C. Ragel
Ranjan Sharma
Shyam Das
author_sort S. Thirukkanesh
title Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
title_short Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
title_full Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
title_fullStr Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
title_full_unstemmed Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
title_sort anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: an algorithm
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2018-01-01
description Abstract We present an algorithm to generalize a plethora of well-known solutions to Einstein field equations describing spherically symmetric relativistic fluid spheres by relaxing the pressure isotropy condition on the system. By suitably fixing the model parameters in our formulation, we generate closed-form solutions which may be treated as an anisotropic generalization of a large class of solutions describing isotropic fluid spheres. From the resultant solutions, a particular solution is taken up to show its physical acceptability. Making use of the current estimate of mass and radius of a known pulsar, the effects of anisotropic stress on the gross physical behaviour of a relativistic compact star is also highlighted.
url http://link.springer.com/article/10.1140/epjc/s10052-018-5526-5
work_keys_str_mv AT sthirukkanesh anisotropicgeneralizationofwellknownsolutionsdescribingrelativisticselfgravitatingfluidsystemsanalgorithm
AT fcragel anisotropicgeneralizationofwellknownsolutionsdescribingrelativisticselfgravitatingfluidsystemsanalgorithm
AT ranjansharma anisotropicgeneralizationofwellknownsolutionsdescribingrelativisticselfgravitatingfluidsystemsanalgorithm
AT shyamdas anisotropicgeneralizationofwellknownsolutionsdescribingrelativisticselfgravitatingfluidsystemsanalgorithm
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