Relativistic compact stars with dark matter density profile

Abstract In this article, we are proposing a model of anisotropic compact star possessing density profile of pseudo-isothermal dark matter satisfying a linear equation of state (EoS). The stellar system supported by this density profile is physically possible and in equilibrium fulfilling all the en...

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Main Authors: Nayan Sarkar, Susmita Sarkar, Ksh. Newton Singh, Farook Rahaman
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-020-7803-3
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author Nayan Sarkar
Susmita Sarkar
Ksh. Newton Singh
Farook Rahaman
author_facet Nayan Sarkar
Susmita Sarkar
Ksh. Newton Singh
Farook Rahaman
author_sort Nayan Sarkar
collection DOAJ
description Abstract In this article, we are proposing a model of anisotropic compact star possessing density profile of pseudo-isothermal dark matter satisfying a linear equation of state (EoS). The stellar system supported by this density profile is physically possible and in equilibrium fulfilling all the energy conditions including the TOV-equation. The solution also satisfies the causality condition, static stability criterion, Abreu’s stability and Bondi’s criteria. The fulfillment of Rhoades–Ruffini criterion makes our solution more physically viable as well. The M–R curve is plotted for $$b=12.55$$ b=12.55  km and $$B_g=60$$ Bg=60  MeV/fm$$^3$$ 3 .
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spelling doaj.art-0b472ec0c3eb46b3bbe9d8ac609498dd2022-12-21T16:53:58ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-03-0180311310.1140/epjc/s10052-020-7803-3Relativistic compact stars with dark matter density profileNayan Sarkar0Susmita Sarkar1Ksh. Newton Singh2Farook Rahaman3Department of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityDepartment of Mathematics, Jadavpur UniversityAbstract In this article, we are proposing a model of anisotropic compact star possessing density profile of pseudo-isothermal dark matter satisfying a linear equation of state (EoS). The stellar system supported by this density profile is physically possible and in equilibrium fulfilling all the energy conditions including the TOV-equation. The solution also satisfies the causality condition, static stability criterion, Abreu’s stability and Bondi’s criteria. The fulfillment of Rhoades–Ruffini criterion makes our solution more physically viable as well. The M–R curve is plotted for $$b=12.55$$ b=12.55  km and $$B_g=60$$ Bg=60  MeV/fm$$^3$$ 3 .http://link.springer.com/article/10.1140/epjc/s10052-020-7803-3
spellingShingle Nayan Sarkar
Susmita Sarkar
Ksh. Newton Singh
Farook Rahaman
Relativistic compact stars with dark matter density profile
European Physical Journal C: Particles and Fields
title Relativistic compact stars with dark matter density profile
title_full Relativistic compact stars with dark matter density profile
title_fullStr Relativistic compact stars with dark matter density profile
title_full_unstemmed Relativistic compact stars with dark matter density profile
title_short Relativistic compact stars with dark matter density profile
title_sort relativistic compact stars with dark matter density profile
url http://link.springer.com/article/10.1140/epjc/s10052-020-7803-3
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