Anisotropic charged core envelope star
P. Mafa Takisa, S. D. Maharaj

TL;DR
This paper models charged, anisotropic stars with a core-envelope structure, analyzing how electric fields influence their physical properties and matching conditions, with applications to pulsar PSR J1614-2230.
Contribution
It introduces a novel core-envelope model with quadratic and linear equations of state, incorporating electric charge and anisotropy, and studies their effects on stellar characteristics.
Findings
Electric field affects mass, radius, and compactness of stars.
Model parameters influence the core and envelope sizes.
Physical variables remain well-behaved within the star.
Abstract
We study a charged compact object with anisotropic pressures in a core envelope setting. The equation of state is quadratic in the core and linear in the envelope. There is smooth matching between the three regions: the core, envelope and the Reissner-Nordstr\"{o}m exterior. We show that the presence of the electric field affects the masses, radii and compactification factors of stellar objects with values which are in agreement with previous studies. We investigate in particular the effect of electric field on the physical features of the pulsar PSR J1614-2230 in the core envelope model. The gravitational potentials and the matter variables are well behaved within the stellar object. We demonstrate that the radius of the core and the envelope can vary by changing the parameters in the speed of sound.
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