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 metric potential Tolman R C (1939 Phys. Rev., 55, 364–373) to solve the field equations. The anisotropic solution gives well behaved results and the energy conditions are fully satisfied. The TOV equation, Harrison-Zeldovik-Novikov criteria, and adiabatic index have been used to verify the stability of the model. Because this model meets all of these characteristics, it may be used to investigate realistic compact objects. We have 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.