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<p>In this work we model a compact star in simultaneosuly comoving and isotropic coordinates. Using a transformation first developed by Kustaanheimo and Qvist [republished: Gen Relat Grav <b>30</b>, 663 (1998)] we recast the Einstein field equations into a simple, albeit, nonlinear system. We further impose a linear equation of state of the form, <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13370_2025_1345_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="92" /> </InlineMediaObject> <EquationSource Format="TEX">\({p_{r}} = \alpha \rho -\beta\)</EquationSource> </InlineEquation>, which we integrate in general. We reduce the problem of finding exact solutions of the Einstein field equations to quadratures relating the metric functions. We complete the gravitational description of the model by choosing one of the metric functions by appealing to physics. A complete physical analysis of our model is carried out to test its robustness as a viable description of compact objects within the framework of general relativity.</p>

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Anisotropic stellar objects cast in isotropic coordinates

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月10日

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  • Suntharalingam Thirukkanesh,
  • Megandhren Govender,
  • Anand Kaisavelu

摘要

In this work we model a compact star in simultaneosuly comoving and isotropic coordinates. Using a transformation first developed by Kustaanheimo and Qvist [republished: Gen Relat Grav 30, 663 (1998)] we recast the Einstein field equations into a simple, albeit, nonlinear system. We further impose a linear equation of state of the form, \({p_{r}} = \alpha \rho -\beta\) , which we integrate in general. We reduce the problem of finding exact solutions of the Einstein field equations to quadratures relating the metric functions. We complete the gravitational description of the model by choosing one of the metric functions by appealing to physics. A complete physical analysis of our model is carried out to test its robustness as a viable description of compact objects within the framework of general relativity.