<p>This study presents exact solution to the Einstein-Maxwell field equations for charged anisotropic stars. By employing the embedding condition and a Chaplygin equation of state, we generate a charged star model which is physically and astrophysical significant. A nonlinear differential equation and field equations are transformed using the Durgapal and Bannerji transformations to simplify the analysis. This enables the specification of metric function on physical grounds. The analysis indicates that both gravitational potentials and matter variables are well behaved, and the model satisfies important physical conditions such as stability, equilibrium, energy conditions, the mass-radius relationship, compactness, measure of anisotropy, and matching.</p>

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Relativistic charged anisotropic stars under Chaplygin equation of state with embedding constraints

  • Alberto K. Mathias,
  • Jonas W. Jape

摘要

This study presents exact solution to the Einstein-Maxwell field equations for charged anisotropic stars. By employing the embedding condition and a Chaplygin equation of state, we generate a charged star model which is physically and astrophysical significant. A nonlinear differential equation and field equations are transformed using the Durgapal and Bannerji transformations to simplify the analysis. This enables the specification of metric function on physical grounds. The analysis indicates that both gravitational potentials and matter variables are well behaved, and the model satisfies important physical conditions such as stability, equilibrium, energy conditions, the mass-radius relationship, compactness, measure of anisotropy, and matching.