Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer

The stability and other physical properties of a class regular black holes, quasiblack electrically charged compact objects are investigated in the present work. obtained by solving Einstein-Maxwell system equations assuming spherical symmetry static spacetime. spacetime is split two regions surface coordinate radius $a$. interior region contains nonisotropic fluid with de Sitter type equation state, $p_r = -\rho_m$, $p_r$ $\rho_m$ being respectively radial pressure energy density fluid. charge distribution chosen as well behaved power-law function. exterior electrovacuum Reissner-Nordstr\"om metric, which joined to metric through thin shell (a matter layer) placed at assumed be perfect satisfying linear barotropic ${\cal P}=\omega\sigma$, P}$ $\sigma$ shell, $\omega$ constant. exact solutions analyzed some detail exploring interesting parameter space, complementing analysis previous works on similar models. This first important contribution study. then considering perturbations around equilibrium position shell. second most this We find that there stable relatively large space. In particular, holes for all values interest. Other ultracompact gravastars, even overcharged stars allowed certain