Dynamics of the scalar shell in higher dimensions

This paper investigates the dynamical evolution of thin-shell developed from a class of d -dimensional black holes. The components of stress–energy tensor of surface matter at thin-shell are evaluated through the Lanczos equations. The corresponding equations of motion and effective potential describe the expansion, collapse and saddle points. It is found that expanding and collapsing characteristics of the shell are enhanced for higher-dimensional spacetimes. We also investigate the dynamics of thin-shell in the presence of massless and massive scalar fields. The evolutionary behavior of massless scalar shell is greatly affected by the black hole parameters. The massive scalar field indicates the oscillation of thin-shell for d = 5 with specific values of the parameters. This scalar shell shows collapse for higher-dimensional Schwarzschild–de Sitter and quintessence manifolds while it indicates expansion for higher-dimensional Reissner–Nordstrom black hole.