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<p>We present a new stellar model which employs the Buchdahl metric potential for the temporal metric potential in the spherical symmetric configuration, following the Mazur–Mottola (MM) gravastar conjecture within the Einsteinian geometric framework. It is thought to be a promising alternative to the Black Holes (BH). Three regions make up the gravastar’s structure: the interior, intermediate shell, and the exterior region. In our model, the interior core region is characterized by a pressure equal to the constant negative matter energy density. This gives rise to a constant repulsive force acting on the shell. This shell is modeled as being composed of an ultra-relativistic plasma fluid. In conformity with Zeldovich’s stiff fluid conjecture, where the pressure is proportional to the energy density of the matter cancels the repulsive force exerted by the interior region. We have described the exterior region’s geometry by the Schwarzschild solution with the spacetime being a vacuum. The specifications lead to a family of exact solutions for the gravastar, free of singularities possessing a physically valid features within the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((3 + 1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mn>3</mn> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> dimensional spacetime paradigm. Moreover, our discussion has covered the junction and the energy conditions in detail, highlighting their role in the production of the thin shell. We conducted a comprehensive stability analysis of our gravastar model through the study of surface redshift and speed of sound. Thus, we have successfully formulated a stable gravastar model that overcomes the singularity problem of BHs, within the context of General Relativity (GR).</p>

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Buchdahl gravastars

  • 期刊论文

  • 发表日期：

    2025年9月26日

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  • Mahesh Kumar,
  • S. Surendra Singh,
  • Meghanil Sinha,
  • Javlon Rayimbaev,
  • Inomjon Ibragimov

摘要

We present a new stellar model which employs the Buchdahl metric potential for the temporal metric potential in the spherical symmetric configuration, following the Mazur–Mottola (MM) gravastar conjecture within the Einsteinian geometric framework. It is thought to be a promising alternative to the Black Holes (BH). Three regions make up the gravastar’s structure: the interior, intermediate shell, and the exterior region. In our model, the interior core region is characterized by a pressure equal to the constant negative matter energy density. This gives rise to a constant repulsive force acting on the shell. This shell is modeled as being composed of an ultra-relativistic plasma fluid. In conformity with Zeldovich’s stiff fluid conjecture, where the pressure is proportional to the energy density of the matter cancels the repulsive force exerted by the interior region. We have described the exterior region’s geometry by the Schwarzschild solution with the spacetime being a vacuum. The specifications lead to a family of exact solutions for the gravastar, free of singularities possessing a physically valid features within the \((3 + 1)\) ( 3 + 1 ) dimensional spacetime paradigm. Moreover, our discussion has covered the junction and the energy conditions in detail, highlighting their role in the production of the thin shell. We conducted a comprehensive stability analysis of our gravastar model through the study of surface redshift and speed of sound. Thus, we have successfully formulated a stable gravastar model that overcomes the singularity problem of BHs, within the context of General Relativity (GR).