Thin shells in (2+1)-dimensional F(R) gravity

Abstract

We study thin shells of matter in (2+1)-dimensional F(R) theories of gravity with constant scalar curvature R. We consider a wide class of spacetimes with circular symmetry, in which a thin shell joins an inner region with an outer one. We analyze the stability of the static configurations under radial perturbations. As examples of spacetimes asymptotically anti-de Sitter, we present a charged bubble and a charged thin shell surrounding a non-charged black hole. In both cases, we show that stable solutions can be found for suitable values of the parameters.

14 pages, 4 figures; v2: minor changes, new references added

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Cited by in corpus (16)

• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Thermodynamic topology of topological black hole in $F(R)$-ModMax gravity's rainbow
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• New black hole solutions in three-dimensional $f(R)$ gravity
• Thin-shell wormholes in (2+1)-dimensional F(R) theories
• Black hole solutions and thin shells in N-dimensional F(R) gravity with a conformally invariant Maxwell field
• Charged thin shells in unimodular gravity
• Generalized Hidden Conformal Symmetry in Quadratic $f(T)$ Gravity
• New Rotating Black Hole Solutions With Imperfect Fluid Energy-Momentum Tensor In $f(R)$ Gravity
• Thin-shell wormholes in N-dimensional F(R) gravity
• Spinor solutions of a Chern-Simons model for the superconformal algebra
• Exact Analytical Taub-NUT like Solution in f(T) Gravity