Analysis of class I complexity induced spherical polytropic models for compact objects

In this research, we present a comprehensive framework that uses a complexity factor to analyze class I generalized relativistic polytropes. We establish class I generalized Lane–Emden equations using the Karmarkar condition under both isothermal and non-isothermal regimes. Our approach considers a...

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Main Authors: Adnan Malik, S. A. Mardan, Tayyaba Naz, Shiraz Khan
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-04-01
Series:Frontiers in Astronomy and Space Sciences
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fspas.2023.1182772/full
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author Adnan Malik
S. A. Mardan
Tayyaba Naz
Shiraz Khan
author_facet Adnan Malik
S. A. Mardan
Tayyaba Naz
Shiraz Khan
author_sort Adnan Malik
collection DOAJ
description In this research, we present a comprehensive framework that uses a complexity factor to analyze class I generalized relativistic polytropes. We establish class I generalized Lane–Emden equations using the Karmarkar condition under both isothermal and non-isothermal regimes. Our approach considers a spherically symmetric fluid distribution for two cases of the generalized polytropic equation of state: 1) the mass density case μo and 2) the energy density case μ. To obtain numerical solutions for both cases, we solve two sets of differential equations that incorporate the complexity factor. Finally, we conduct a graphical analysis of these solutions.
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spelling doaj.art-0c7854c985044be8ab39aaa96af08a4b2023-04-17T16:27:31ZengFrontiers Media S.A.Frontiers in Astronomy and Space Sciences2296-987X2023-04-011010.3389/fspas.2023.11827721182772Analysis of class I complexity induced spherical polytropic models for compact objectsAdnan Malik0S. A. Mardan1Tayyaba Naz2Shiraz Khan3School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang, ChinaDepartment of Mathematics, University of Management and Technology, Lahore, PakistanNational University of Computer and Emerging Sciences, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanIn this research, we present a comprehensive framework that uses a complexity factor to analyze class I generalized relativistic polytropes. We establish class I generalized Lane–Emden equations using the Karmarkar condition under both isothermal and non-isothermal regimes. Our approach considers a spherically symmetric fluid distribution for two cases of the generalized polytropic equation of state: 1) the mass density case μo and 2) the energy density case μ. To obtain numerical solutions for both cases, we solve two sets of differential equations that incorporate the complexity factor. Finally, we conduct a graphical analysis of these solutions.https://www.frontiersin.org/articles/10.3389/fspas.2023.1182772/fullcomplexitycompact objectsspherical polytropic modelsspherical symmetryanisotropy
spellingShingle Adnan Malik
S. A. Mardan
Tayyaba Naz
Shiraz Khan
Analysis of class I complexity induced spherical polytropic models for compact objects
Frontiers in Astronomy and Space Sciences
complexity
compact objects
spherical polytropic models
spherical symmetry
anisotropy
title Analysis of class I complexity induced spherical polytropic models for compact objects
title_full Analysis of class I complexity induced spherical polytropic models for compact objects
title_fullStr Analysis of class I complexity induced spherical polytropic models for compact objects
title_full_unstemmed Analysis of class I complexity induced spherical polytropic models for compact objects
title_short Analysis of class I complexity induced spherical polytropic models for compact objects
title_sort analysis of class i complexity induced spherical polytropic models for compact objects
topic complexity
compact objects
spherical polytropic models
spherical symmetry
anisotropy
url https://www.frontiersin.org/articles/10.3389/fspas.2023.1182772/full
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AT samardan analysisofclassicomplexityinducedsphericalpolytropicmodelsforcompactobjects
AT tayyabanaz analysisofclassicomplexityinducedsphericalpolytropicmodelsforcompactobjects
AT shirazkhan analysisofclassicomplexityinducedsphericalpolytropicmodelsforcompactobjects