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

References in corpus (23)

• Modified-gravity wormholes without exotic matter
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Spherical symmetry in $f(R)$-gravity
• Junction Conditions in f(R) Theories of Gravity
• Gravastars supported by nonlinear electrodynamics
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Dynamic thin-shell black-bounce traversable wormholes
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Stability of generic cylindrical thin shell wormholes
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Stability of charged thin shells
• Thin-shell traversable wormhole crafted from a regular black hole with asymptotically Minkowski core
• General formalism for the stability of thin-shell wormholes in 2+1 dimensions
• Structure and stability of traversable thin-shell wormholes in Palatini $f(\mathcal{R})$ gravity
• Asymptotically anti-de Sitter cylindrical thin-shell wormholes
• (Compactified) black branes in four dimensional f(R)-gravity
• Charged shells in a (2+1)-dimensional spacetime
• (2+1)-dimensional solutions in $F(R)$ gravity
• 2+1-dimensional traversable wormholes supported by positive energy
• Existence and Stability of Static Spherical Fluid Shells in a Schwarzschild-Rindler-anti-de Sitter Metric
• Thin shells in F(R) gravity with non-constant scalar curvature
• Double layer from least action principle
• Thin shells associated to black string spacetimes

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• 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