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Abstract <p>We present a new class of singularity-free interior solutions for anisotropic compact stars with spherical symmetry. By prescribing a specific pressure anisotropy, exact solutions to Einstein’s field equations are obtained and matched smoothly to the Schwarzschild exterior metric. The model parameters are determined using the boundary condition of vanishing radial pressure. The physical viability of the model is demonstrated through an analysis of the pulsar 4U1820-30, characterized by a radius of 9.1 km and mass <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(M=1.58M_{\odot}.\)</EquationSource> <!--GravCos2570062Patel-m1--> </InlineEquation> </p>

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Impact of Pressure Anisotropy on a Compact Stellar Model in General Relativity

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Rinkal Patel

摘要

Abstract

We present a new class of singularity-free interior solutions for anisotropic compact stars with spherical symmetry. By prescribing a specific pressure anisotropy, exact solutions to Einstein’s field equations are obtained and matched smoothly to the Schwarzschild exterior metric. The model parameters are determined using the boundary condition of vanishing radial pressure. The physical viability of the model is demonstrated through an analysis of the pulsar 4U1820-30, characterized by a radius of 9.1 km and mass \(M=1.58M_{\odot}.\)