Gravastar configuration in non-conservative Rastall gravity

Abstract

Abstract In the present article, we have presented the exact solutions of gravastar with Kuchowicz metric potential in the background of non-conservative Rastall gravity. Within the context of Mazur-Mottola’s [1, 2] concept of Bose–Einstein condensation to gravitational systems, the grvastar structure consists of three layers: interior part, intermediate part (i.e., thin shell) and exterior part. All the gravastar’s exact solutions have been derived with the aid of Kuchowicz metric potential by considering isotropic matter distribution. For the thin shell (filled with ultra-relativistic stiff fluid) with different parameters like length, energy, entropy and surface redshift have been calculated, which show the stability of our proposed model. Interestingly, all the thin shell results are obtained without taking shell approximation i.e., 0 < e −ν ≡ h ≪ 1. The exterior part, which is absolutely a vacuum is characterized by the Schwarzschild geometry and the interior part give output in the form of non-singular results. Generally, the main purpose of this work is to obtain the exact, non-singular, horizon free, stable model and we have achieved these goals in the presence of Rastall parameter.