Thin shells in F(R) gravity with non-constant scalar curvature

Abstract

We introduce two classes of spherically symmetric spacetimes having a thin shell of matter, in non-quadratic F(R) theories of gravity with non-constant scalar curvature R. In the first, the thin shell joins an inner region with an outer one, while in the second it corresponds to the throat of a wormhole. In both scenarios, we analyze the stability of the static configurations under radial perturbations. As particular examples in spacetimes with a cosmological constant, we present charged thin shells surrounding a non-charged black hole and charged thin-shell wormholes. We show that in both cases stable solutions are possible for suitable values of the parameters.

17 pages, 4 figures; v2: extended and improved version, new references added

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Cited by in corpus (2)

• Thin shells in (2+1)-dimensional F(R) gravity
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity