Model for anisotropic compact stars via Chaplygin equation of state in Tolman space-time

Abstract

In this work, we construct a unique anisotropic solution for spherically symmetric spacetime by investigating the Chaplygin EOS for the anisotropic fluid distribution. For generating the solutions we have used Tolman [1] to solve the field equations. The anisotropic solution gives well behaved results and follows the energy requirements. The TOV equation, Harrison-Zeldovik-Novikov criteria, and adiabatic index for the solution were used to verify the stability of the created model. Because this model meets all of these characteristics, it may be used to investigate realistic compact objects. We also used this model to calculate the masses and radii of compact stars like Her X-1, 4U 1538-52, SAX J1808.4-3658, and LMC X-4, and found that these values were consistent with observational data which was derived using the provided solution.

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