Aspects of spherical shells in a D-dimensional background

Abstract

In this work, shells are mathematically constructed by applying the cut and paste procedure to D-dimensional spherically symmetric geometries. The weak energy condition for the matter on the shells is briefly analyzed. The dynamical evolution is studied, and the general formalism for the stability of static solutions is presented. Several examples corresponding to different spacetime dimensions and values of the parameters are considered.

12 pages, 6 figures; v2: minor changes

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Cited by in corpus (16)

• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• Spherical thin shells in F(R) gravity: construction and stability
• Stability of $d$-dimensional Gravastars with Variable Equation of State
• Charged shells in a (2+1)-dimensional spacetime
• Thin shells in (2+1)-dimensional F(R) gravity
• Stability of a $d$-dimensional thin-shell wormhole surrounded by quintessence
• Thin shells in F(R) gravity with non-constant scalar curvature
• Thin shells surrounding black holes in F(R) gravity
• Electrically charged spherical matter shells in higher dimensions: Entropy, thermodynamic stability, and the black hole limit
• A note about the perturbative dynamics of symmetric shells
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Perturbative dynamics of thin-shell wormholes beyond general relativity: an alternative approach
• Evolution of thin shells in D-dimensional General Relativity
• Charged thin shells in unimodular gravity
• Thin-shell wormholes in N-dimensional F(R) gravity
• Tides and energy conditions in Einstein-Gauss-Bonnet thin-shell wormholes