Charged cylindrical polytropes with generalized polytropic equation of state

Abstract

We study the general formalism of polytropes in the relativistic regime with generalized polytropic equations of state in the vicinity of cylindrical symmetry. We take a charged anisotropic fluid distribution of matter with a conformally flat condition for the development of a general framework of the polytropes. We discuss the stability of the model by the Whittaker formula and conclude that one of the models developed is physically viable.

Behavior of anisotropic fluids with Chaplygin equation of state in Buchdahl spacetime

“…Discernibly, the significance of EoS method in modeling a compact stellar object is reflected in the analysis of physical behavior. This has stimulated researchers to consider subtler yet more generalized forms of EoSs as well as proposing new physical nature of the anistropic fluid matter [14,[27][28][29][30][31][32][33]. Hence this method is crucial not only for modeling of interesting stellar bodies which are already discovered but to propose feasible answers to unsolved puzzles and theoretical conundrums in the field of relativistic astrophysics and cosmology.…”

Model for anisotropic compact stars via Chaplygin equation of state in Tolman space-time

“…Many extreme properties depends on the compactness of the system, which make u(r) a very important parameter in the high energy astrophysics. From equation (28) it is clearly seen that the maximum value of (ax + bx 2 ) corresponds to the maximum compactness. Once we obtained the compactness parameter u(r), it becomes quite easy to calculate the maximum mass of anisotropic star for a given radius.…”

“…For the examination of the physical behaviour of compact objects, the EoS approach is highly helpful. Many studies [26][27][28][29][30][31][32] have developed generalised EoSs as well as new scientific theories for anisotropic fluid matter. As a result, this technique is highly helpful for modelling fascinating star objects that have previously been discovered as well as for suggesting workable solutions to open problems and theoretical enigma in the region of astrophysics and cosmology.…”

On cracking of charged anisotropic polytropes

“…Azam et al [31] presented the theory of charged spherical polytropes with generalized polytropic EoS and provide the stability analysis by means of bounded Tolman mass function. They also extended this idea for cylindrical polytropes and checked the stability through Whittaker mass [32]. Herrera et al [33] analyzed the stability of spherical polytropes by means of cracking (or overturning) by applying perturbation in local anisotropy and energy density.…”