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<p>This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952–0607 by using Generalized Tolman - Kuchowicz space-time metric with quadratic equation of state. We have obtained the bound on the model parameter n graphically and achieved the stable stellar structure of the mathematical model of a compact object. The stability of the generated model is examined by the Tolman - Oppenheimer - Volkoff equation and the Harrison-Zeldovich-Novikov criterion. This anisotropic compact star model fulfills all the required stability criteria including the causality condition, adiabatic index, Buchdahl condition, Herrera’s cracking condition, and pertains free from central singularities.</p>

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Anisotropic compact stars on generalized Tolman-Kuchowicz spacetime with quadratic equation of state

  • 期刊论文

  • 发表日期：

    2025年8月25日

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  • Hemani R. Acharya,
  • Dishant M. Pandya,
  • Bharatkumar B. Parekh,
  • V. O. Thomas

摘要

This paper presents the class of solutions to the Einstein field equations for the uncharged static spherically symmetric compact object PSR J0952–0607 by using Generalized Tolman - Kuchowicz space-time metric with quadratic equation of state. We have obtained the bound on the model parameter n graphically and achieved the stable stellar structure of the mathematical model of a compact object. The stability of the generated model is examined by the Tolman - Oppenheimer - Volkoff equation and the Harrison-Zeldovich-Novikov criterion. This anisotropic compact star model fulfills all the required stability criteria including the causality condition, adiabatic index, Buchdahl condition, Herrera’s cracking condition, and pertains free from central singularities.