Dynamical Stability of Gravastars Covered with ABG Black Holes

This paper is devoted to constructing the geometry of thin-shell gravastars from the joining of inner de Sitter and outer Ayon-Beato Garcia (de Sitter) black hole. We use cut and paste technique to match these spacetimes at thin-shell. The presence of thin layer of matter at thin-shell plays a vital role to explain dynamics and stability of gravastars. It is evaluated that the physical features such as proper length, entropy and shell’s energy contents are proportional to the thickness of shell’s region. The stability of gravastars is explored by using linearized radial perturbation and barotropic equation of state. It is found that stable regions of Ayon-Beato and Garcia–de Sitter black hole are greater than Ayon-Beato and Garcia as well as Schwarzschild black holes. We conclude that thin-shell gravastar becomes more stable if the shell radius is less than the expected event horizon for the barotropic equation of state.