A new relativistic stellar model with anisotropic fluid in Karmarkar space-time

摘要

We are presenting a new class of well-behaved solutions in embedding class-I. We proceed our calculations by assuming a new type of g(rr) metric potential and solved for the other metric g(tt) using Karmarkar condition. The necessary condition that any solutions of Einstein's field equations to be class-I is to satisfy Karmarkar condition and sufficient condition is to satisfy Pandey-Sharma condition i.e. R-2323 not equal 0. The solution also satisfies strong energy condition, null energy condition, dominant energy condition and weak energy condition. The obtained compactness parameter is within Buchdahl limit i.e. 2M/R <= 8/9. The solution also satisfies the causality condition and can represent stable stellar fluid system as the adiabatic index Gamma > 4/3 and the stability factor holds -1 <= upsilon(2)(t) - upsilon(2)(r) <= 0 good. Finally, we have tuned our solution for two compact stars PSR J1614-2230 and 4U1608-52 which are well-behaved in all respects. (C) 2016 Elsevier Inc. All rights reserved.