Study of anisotropic polytropes in the presence of cloud of strings and quintessence

This paper probes the generic formulation of anisotropic polytropic stars in General Relativity, with special attention to the quintessence and cloud of strings. The stellar model is constructed by employing a static spherically symmetric interior spacetime matched to an appropriate exterior geometry. To obtain the solution of the field equation, we utilize two equations of polytropes. The Lane–Emden as well as the hydrostatic equilibrium equation is structured for two families of polytropic equations using the anisotropic fluid distribution. We assess how anisotropies influence celestial composition. In order to make the system of equations simple, we define the auxiliary variables. We plot graphical behavior to illustrate several aspects of such setups for different values of the anisotropic parameter. We discuss the different physical features and check the stability criteria of the models. It is discovered that in both situations, the effects of anisotropic parameter on various quantities are the same. The equilibrium and stability of compact stellar arrangements are also scrutinized by examining the mass-central density relation. Lastly, we examine the Tolman mass as a diagnostic tool to evaluate the structural characteristics of the models. The outcomes show that the generated polytropes are astrophysically feasible and stable.

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