Abstract
In this paper, complexity factor is used with generalized polytropic equation of state to develop two consistent systems of three differential equations and a general frame work is established for modify form of Lane-Emden equations. For this purpose anisotropic fluid distribution is considered in cylindrical static symmetry with two cases of generalized polytropic equation of state (i) mass density mu _{o} and (ii) energy density mu . A graphical analysis will be carried out for the numerical solution of these systems of three differential equations.
Highlights
Horedt [10] discussed the instability of weakly distorted polytropic sphere for polytropic index n > 3
Sharma [11] tabulated the values of radius of static polytropic sphere for polytropic index n = 0, 1, 3 and values of other physical parameters for n = 0, 1 by using the pade (2, 2) approximation
complexity factor (CF) is defined [31] through structure scalars, which are obtained from orthogonal splitting of curvature tensor [43]
Summary
Horedt [10] discussed the instability of weakly distorted polytropic sphere for polytropic index n > 3. Herrera and Barreto [17] evaluated the relativistic polytropes by using the two different definitions of relativistic polytropes giving same Newtonian limit for self gravitating sphere They [20] gave a general structure for the modeling of polytropes in the context of general relativity and derived the LEe. Herrera et al [23] used the PEoS to analyze the spherically symmetric fluid which is distributed confor-. Mardan et al [27,28] used spherical symmetric GPs to investigate some gravitating objects They found exact solutions of field equations by taking different values of polytropic index n and analyzed some mathematical models which were found physically viable and well behaved.
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