Abstract
In this paper, we study the electromagnetic effects on stability of spherically symmetric anisotropic fluid distribution satisfying two polytropic equations of state and construct the corresponding generalized Tolman Oppenheimer Volkoff equations. We apply perturbations on matter variables via polytropic constant as well as polytropic index and formulate the force distribution function. It is found that the compact object is stable for feasible choice of perturbed polytropic index in the presence of charge.
Highlights
A stellar object is worthless if it is not stable against perturbations in its physical variables
Bondi [1] was the pioneer to develop a hydrostatic equilibrium equation to examine the stability of self-gravitating spheres
Herrera [2] introduced the concept of cracking as well as overturning to describe the behavior of an isotropic and anisotropic matter distribution just after its deviation from an equilibrium state
Summary
A stellar object is worthless if it is not stable against perturbations in its physical variables (e.g. energy density and pressure anisotropy). The polytropic equation of state (EoS) has captivated the attention of many researchers discussing the internal structure of compact objects It is a power-law relationship between energy density and pressure, defined as. Tooper [11] proposed the idea of a relativistic study of polytropes and formulated two non-linear differential equations describing the stellar structure He found the physical variables (mass, pressure and density) of polytropes using a numerical technique. Herrera and Barreto [12] discussed a general formalism for relativistic isotropic as well as anisotropic polytropes of a spherically symmetric matter distribution and constructed the Lane–Emden equation, which represents the inner structure of compact objects.
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