Anisotropic Conformal Star Model with Electric Field
Manuel Malaver *
Department of Basic Sciences, Maritime University of the Caribbean, Catia la Mar, Venezuela, Institute of Scholars, Muddhinapalya Bengaluru-560091, Karnataka, India and Department of Applied Physics, Engineering Faculty, Central University of Venezuela, Caracas, Venezuela.
Abdelhamid Rehouma
Department of Mathematics, Faculty of Exact Sciences, University of Hama, Lakhdar, Algeria.
*Author to whom correspondence should be addressed.
Abstract
This study presents a charged anisotropic compact-star model constructed within the framework of the Einstein-Maxwell field equations. The stellar interior is assumed to be static and spherically symmetric, with an anisotropic matter distributionw and an electric field. A linear equation of state, associated with the MIT bag model formulation, is adopted to relate radial pressure to energy density. The system is further constrained by imposing conformal symmetry through a conformal Killing vector, which provides a relationship between the gravitational metric potentials and enables exact analytical expressions for the physical variables to be derived. A specific form of electric field intensity is selected, and the resulting model is examined for regularity and physical acceptability.
The analysis considers the behaviour of the metric potentials, energy density, radial pressure, charge density, anisotropy, electric field intensity, mass function and surface redshift within the stellar interior. For the selected parameter values, the metric functions remain finite at the centre, while density and radial pressure are positive and decrease with the radial coordinate. The anisotropy vanishes at the centre, and the mass function increases outward. The model also matches the interior spacetime with the exterior Reissner-Nordstrom geometry at the stellar boundary. The numerical results give a stellar mass of approximately 1.907 solar masses at radius 10.56, with a corresponding surface redshift of about 0.251. These values are compared with reported masses of selected compact-star candidates. The results suggest that the proposed model can provide a mathematically consistent description of compact stellar configurations under the assumptions considered.
Keywords: Conformal symmetry, conformal killing vector, electric field, MIT bag model, compact star