Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ

Abstract We investigate the stability and enhancement of the physical characteristics of compact, relativistic objects which follow a quadratic equation of state. To achieve this, we make use of the Vaidya–Tikekar metric potential. This gravitational potential has been shown to be suitable for descr...

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Main Authors: S. Thirukkanesh, Robert S. Bogadi, Megandhren Govender, Sibusiso Moyo
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-020-08799-7
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author S. Thirukkanesh
Robert S. Bogadi
Megandhren Govender
Sibusiso Moyo
author_facet S. Thirukkanesh
Robert S. Bogadi
Megandhren Govender
Sibusiso Moyo
author_sort S. Thirukkanesh
collection DOAJ
description Abstract We investigate the stability and enhancement of the physical characteristics of compact, relativistic objects which follow a quadratic equation of state. To achieve this, we make use of the Vaidya–Tikekar metric potential. This gravitational potential has been shown to be suitable for describing superdense stellar objects. Pressure anisotropy is also a key feature of our model and is shown to play an important role in maintaining stability. Our results show that the combination of the Vaidya–Tikekar gravitational potential used together with the quadratic equation of state provide models which are favourable. In comparison with other equations of state, we have shown that the quadratic equation of state mimics the colour-flavour-locked equation of state more closely than the linear equation of state.
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spelling doaj.art-ec14ba299a7f4485b30a7f3cbc3d373a2022-12-21T23:23:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-01-018111710.1140/epjc/s10052-020-08799-7Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γS. Thirukkanesh0Robert S. Bogadi1Megandhren Govender2Sibusiso Moyo3Department of Mathematics, Faculty of Science, Eastern UniversityDepartment of Mathematics, Faculty of Applied Sciences, Durban University of TechnologyDepartment of Mathematics, Faculty of Applied Sciences, Durban University of TechnologyDepartment of Mathematics, Faculty of Applied Sciences, Durban University of TechnologyAbstract We investigate the stability and enhancement of the physical characteristics of compact, relativistic objects which follow a quadratic equation of state. To achieve this, we make use of the Vaidya–Tikekar metric potential. This gravitational potential has been shown to be suitable for describing superdense stellar objects. Pressure anisotropy is also a key feature of our model and is shown to play an important role in maintaining stability. Our results show that the combination of the Vaidya–Tikekar gravitational potential used together with the quadratic equation of state provide models which are favourable. In comparison with other equations of state, we have shown that the quadratic equation of state mimics the colour-flavour-locked equation of state more closely than the linear equation of state.https://doi.org/10.1140/epjc/s10052-020-08799-7
spellingShingle S. Thirukkanesh
Robert S. Bogadi
Megandhren Govender
Sibusiso Moyo
Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ
European Physical Journal C: Particles and Fields
title Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ
title_full Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ
title_fullStr Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ
title_full_unstemmed Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ
title_short Stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in $$p_r = \alpha \rho ^2 + \beta \rho - \gamma $$ p r = α ρ 2 + β ρ - γ
title_sort stability and improved physical characteristics of relativistic compact objects arising from the quadratic term in p r alpha rho 2 beta rho gamma p r α ρ 2 β ρ γ
url https://doi.org/10.1140/epjc/s10052-020-08799-7
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