Abstract
We investigate the existence of high dense compact objects in the light of Rastall gravity theory. The material content is driven by an imperfect fluid distribution and the inner geometry is described by the TolmanâKuchowicz spaceâtime. The validity of the obtained model is checked by studying the main salient features such as energyâdensity, radial and tangential pressures and anisotropy factor. Since Einstein gravity theory shares the same vacuum solution with Rastall gravity theory, the interior geometry is joining in a smoothly way with the exterior Schwarzschildâs solution. The equilibrium of the model under different gradients is analyzed by using the modified hydrostatic equilibrium equation, containing the soâcalled Rastall gradient. The compact structure has a positive anisotropy factor which enhances the balance and stability mechanisms. To check the potentially stable behavior, we employ Abreuâs and adiabatic index criterion. It was found that the model is completely stable. The incidence of the Rastallâs parameter $\gamma $ on all the physical quantities that characterize the model is described by the help of graphical analysis. Concerning the $\gamma $ spectrum we have considered $0.3142\leq \gamma \leq 0.3157$ . All the results are compared with the general relativity case.
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