Anisotropic strange stars in the Einstein–Maxwell spacetime

Abstract We present here a detailed analysis on the effects of charge on the anisotropic strange star candidates by considering a spherically symmetric interior spacetime metric. To obtain exact solution of the Einstein–Maxwell field equations we have considered the anisotropic strange quark matter...

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Main Authors: Debabrata Deb, Maxim Khlopov, Farook Rahaman, Saibal Ray, B. K. Guha
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5930-x
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author Debabrata Deb
Maxim Khlopov
Farook Rahaman
Saibal Ray
B. K. Guha
author_facet Debabrata Deb
Maxim Khlopov
Farook Rahaman
Saibal Ray
B. K. Guha
author_sort Debabrata Deb
collection DOAJ
description Abstract We present here a detailed analysis on the effects of charge on the anisotropic strange star candidates by considering a spherically symmetric interior spacetime metric. To obtain exact solution of the Einstein–Maxwell field equations we have considered the anisotropic strange quark matter (SQM) distribution governed by the simplified MIT bag equation of state (EOS), $$p=\frac{1}{3}\left( {\rho }-4\,B \right) $$ p=13ρ-4B , where B is the bag constant and the distribution of the electrical charge is given as $$q(r)=Q\left( {r}/{R}\right) ^3=\alpha {r^3}$$ q(r)=Qr/R3=αr3 , where $$\alpha $$ α is a constant. To calculate different constants we have described the exterior spacetime by the Reissner-Nordström metric. By using the values of the observed mass for the different strange star candidates we have maximized anisotropic stress at the surface to predict the exact values of the radius for the different values of $$\alpha $$ α and a specific value of the bag constant. Further, we perform different tests to study the physical validity and the stability of the proposed stellar model. We found accumulation of the electric charge distribution is maximum at the surface having electric charge of the order $${{10}^{20}}~C$$ 1020C and electric field of the order $${10}^{21-22}$$ 1021-22  V/cm.
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spelling doaj.art-03d37940806444d795231db86e99c9fa2022-12-22T03:19:53ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-06-0178611310.1140/epjc/s10052-018-5930-xAnisotropic strange stars in the Einstein–Maxwell spacetimeDebabrata Deb0Maxim Khlopov1Farook Rahaman2Saibal Ray3B. K. Guha4Department of Physics, Indian Institute of Engineering Science and TechnologyNational Research Nuclear University “MEPHI” (Moscow Engineering Physics Institute)Department of Mathematics, Jadavpur UniversityDepartment of Physics, Government College of Engineering and Ceramic TechnologyDepartment of Physics, Indian Institute of Engineering Science and TechnologyAbstract We present here a detailed analysis on the effects of charge on the anisotropic strange star candidates by considering a spherically symmetric interior spacetime metric. To obtain exact solution of the Einstein–Maxwell field equations we have considered the anisotropic strange quark matter (SQM) distribution governed by the simplified MIT bag equation of state (EOS), $$p=\frac{1}{3}\left( {\rho }-4\,B \right) $$ p=13ρ-4B , where B is the bag constant and the distribution of the electrical charge is given as $$q(r)=Q\left( {r}/{R}\right) ^3=\alpha {r^3}$$ q(r)=Qr/R3=αr3 , where $$\alpha $$ α is a constant. To calculate different constants we have described the exterior spacetime by the Reissner-Nordström metric. By using the values of the observed mass for the different strange star candidates we have maximized anisotropic stress at the surface to predict the exact values of the radius for the different values of $$\alpha $$ α and a specific value of the bag constant. Further, we perform different tests to study the physical validity and the stability of the proposed stellar model. We found accumulation of the electric charge distribution is maximum at the surface having electric charge of the order $${{10}^{20}}~C$$ 1020C and electric field of the order $${10}^{21-22}$$ 1021-22  V/cm.http://link.springer.com/article/10.1140/epjc/s10052-018-5930-x
spellingShingle Debabrata Deb
Maxim Khlopov
Farook Rahaman
Saibal Ray
B. K. Guha
Anisotropic strange stars in the Einstein–Maxwell spacetime
European Physical Journal C: Particles and Fields
title Anisotropic strange stars in the Einstein–Maxwell spacetime
title_full Anisotropic strange stars in the Einstein–Maxwell spacetime
title_fullStr Anisotropic strange stars in the Einstein–Maxwell spacetime
title_full_unstemmed Anisotropic strange stars in the Einstein–Maxwell spacetime
title_short Anisotropic strange stars in the Einstein–Maxwell spacetime
title_sort anisotropic strange stars in the einstein maxwell spacetime
url http://link.springer.com/article/10.1140/epjc/s10052-018-5930-x
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AT maximkhlopov anisotropicstrangestarsintheeinsteinmaxwellspacetime
AT farookrahaman anisotropicstrangestarsintheeinsteinmaxwellspacetime
AT saibalray anisotropicstrangestarsintheeinsteinmaxwellspacetime
AT bkguha anisotropicstrangestarsintheeinsteinmaxwellspacetime