Frameworks for generalized anisotropic conformally flat polytropes in f(R) gravity

The purpose of this paper is to analyze the conformally flat spherically symmetric fluid distribution with generalized polytropic equations of state. We have developed two different framework for two different definitions of generalized polytropes. The frameworks for development of modified Lane–Emden equation are presented for both cases. The conformally flat condition is used to calculate anisotropy factor which transform considered systems into consistent systems. Tolman mass function is used in the polytropic models to check their stability.