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 (1)

• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field