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July 7, 2026The European Physical Journal C0 citationsOpen Access

Beyond neutral spheres: Shaping realistic charged anisotropic stars with extended deformation strategy

TNTayyab NaseerMSM. SharifATAleena Tehreem

Key Points

  • This work aims to develop new anisotropic charged star solutions using an extended geometric deformation approach within Einstein's gravity.
  • Applied the extended geometric deformation approach to known seed models, focusing on static, spherically symmetric structures.
  • Introduced a new Lagrangian density to couple the additional matter source to the original fluid distribution.
  • Used temporal and radial metric transformations to decouple and solve field equations, matching internal and exterior star geometries.
  • Developed distinct classes of anisotropic charged star solutions with specific parameters.
  • Successfully matched internal and exterior geometries to determine integration constants for the proposed models.
  • Predicted dimensions for the star candidate Vela X-1 indicate the models align with physical viability criteria.

Abstract

Abstract This work utilizes the extended geometric deformation approach within the Einstein’s theory of gravity to generate two novel anisotropic charged solutions by extending known seed models. The anisotropic fluid distribution is initially introduced in a static, spherically symmetric seed structure in order to achieve this goal. The gravitational coupling of the additional matter source to the original fluid distribution is further performed through the addition of a Lagrangian density. The temporal and radial metric transformations are applied to the field equations for the entire matter configuration, producing two sets of decoupled equations. Different constraints are used to solve these systems independently, producing new classes of solutions. Additionally, the internal and exterior geometries at the boundary are matched to find the integration constants in the proposed solutions. Afterwards, the predicted radius and mass of a star candidate, Vela~X-1 V e l a X - 1, are used to graphically examine the suggested models. In conclusion, our charged relativistic models fit the acceptability requirements for the physical existence quite well for specific values of the decoupling parameter.

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Cite This Study

Naseer et al. (2026) studied this question.

synapsesocial.com/papers/6a4c9754331bc25c9e5f446bhttps://doi.org/10.1140/epjc/s10052-026-16028-w
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