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Stability and Dynamics of Regular Thin-Shell Gravastars

M. SharifDepartment of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, PakistanFaisal JavedDepartment of Mathematics, University of the Punjab, Quaid-e-Azam Campus, 54590, Lahore, Pakistan
2021en
ABI

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This paper explores the stable and dynamical configuration of thin-shell gravastars developed from the matching of exterior (Hayward and Hayward anti-de Sitter black holes) and interior (de Sitter) spacetimes. These spacetimes are connected at a thin-shell by considering Visser cut and paste technique. The matter surface energy density and pressure are formulated from the Lanczos equations. We consider the shaded regions to discuss the stability of gravastars by using radial perturbation at the equilibrium shell radius. We then observe thin-shell dynamics with massless as well as massive scalar field through equations of motion and Klein-Gordon equations. The respective scalar thin-shell represents collapse and expansion of the developed structure with the shell radius, velocity and effective potential. We conclude that stable regions of gravastar shell decrease and dynamical configuration (collapse and expansion) increase with cosmological constant.

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