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July 10, 2026International Journal of Modern Physics A0 citations

Minimal geometric deformation approach to charged relativistic anisotropic stars with barotropic equation of state in Einstein-Maxwell gravity

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TNTayyab NaseerMSM. SharifATAleena Tehreem

Key Points

  • This research aims to construct new solutions for charged relativistic anisotropic stars within Einstein-Maxwell gravity.
  • Constructed analytical modifications of anisotropic solutions using minimal geometric deformation.
  • Introduced a Lagrangian density for an additional matter source to account for gravitational coupling.
  • Derived and solved new field equations through radial metric transformation and matched internal and external geometries.
  • Generated a new class of solutions under distinct constraints from original fluid distributions.
  • Validated the models visually with the star candidate Vela X-1 and its approximated mass and radius.
  • Confirmed that specific values of the decoupling parameter fulfill the acceptance criteria in the charged spherical models.

Abstract

Within the context of Einstein-Maxwell gravity, two analytical modifications of existing anisotropic solutions are constructed using minimal geometric deformation in the presence of an electromagnetic field. To achieve this, we begin with a static spherically symmetric seed configuration containing the anisotropic fluid distribution. A Lagrangian density describing an additional matter source is then introduced, accounting for its gravitational coupling to the original fluid distribution. Two decoupled sets of equations are obtained by using a radial metric transformation once the field equations for the entire matter configuration are derived. These systems are solved independently using distinct constraints, generating a new class of relativistic solutions. Furthermore, the integration constants in the interior solutions are determined by matching the internal and external geometries at the boundary. Subsequently, a star candidate, namely Vela X-1 is considered along with its approximated mass and radius to graphically examine the proposed models. It is concluded that, for particular values of the decoupling parameter, the acceptance criteria is fulfilled under both our charged spherical models.

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Cite This Study

Naseer et al. (2026) studied this question.

synapsesocial.com/papers/6a508ea56eeac72a437a15d1https://doi.org/10.1142/s0217751x26501460
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