Abstract 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.

中文翻译：

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高维标量壳的动力学

摘要 本文研究了由一类d维黑洞发展而来的薄壳的动力学演化。薄壳表面物质的应力-能量张量分量通过Lanczos方程计算。相应的运动方程和有效势描述了膨胀点、塌陷点和鞍点。发现壳的膨胀和收缩特性在高维时空得到增强。我们还研究了存在无质量和有质量标量场时薄壳的动力学。无质量标量壳的演化行为受黑洞参数影响很大。大量标量场表示 d = 5 时薄壳的振荡，具有特定的参数值。