Spherical thin shells in F(R) gravity: construction and stability

Abstract

We present a broad class of spherical thin shells of matter in F(R) gravity. We show that the corresponding junction conditions determine the equation of state between the energy density and the pressure/tension at the surface. We analyze the stability of the static configurations under perturbations preserving the symmetry. We apply the formalism to the construction of charged bubbles and we find that there exist stable static configurations for a suitable set of the parameters of the model.

13 pages, 2 figures; v2: improved version, new references added

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• Gravastars supported by nonlinear electrodynamics
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• A new shape function for wormholes in $f(R)$ gravity and General Relativity
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• Wormhole modeling in $R^2$ gravity with linear trace term
• f(R) wormholes embedded in a pseudo--Euclidean space $E^5$
• Thin shells in F(R) gravity with non-constant scalar curvature
• Thin shells surrounding black holes in F(R) gravity
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• Linearized Stability of Bardeen de-Sitter Thin-Shell Wormholes
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Linearized Stability of Harada Thin-Shell Wormholes
• Relation between circular photon orbits and the stability of wormholes with the thin shell of a barotropic fluid
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Charged thin shells in unimodular gravity
• Thin-shell wormholes in N-dimensional F(R) gravity
• Thermodynamical and dynamical stability of Einstein-Maxwell and extremal Einstein-Born-Infeld thin shells in $(2+1)$ dimensions