Anisotropic Compact Star Model Satisfying Karmarkar Conditions

摘要: A new class of solutions describing the composition compact stars has been proposed, assuming that fluid distribution inside star is anisotropic. This achieved by appropriate metric potential and then solving Einstein's field equations using Karmarkar conditions [Karmarkar K. R., \textit{Proc. Indian Acad. Sci.} \textbf{27} (1948) 56] to derive expressions for density, radial tangential pressures in terms constants A, B, a paramter `a' curvature parameter R. The thus obtained have passed through rigorous conditional analysis. It further shown model physically viable mathematically well-behaved, fulfilling requisite viz., regularity condition, strong energy causality etc. Observed candidates including EXO 1785-248, SMC X-1, SAXJ1808.43658(SS2), HER 4U 1538-52, Cen X-3 LMC X-4 were found conform good approximation outcome this a=0.5.