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

FIGUEROA AGUIRRE, GRISELDA; EIROA, ERNESTO F.

The European Physical Journal Plus

Springer

Año: 2020 vol. 135 p. 774 - 774

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 of 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.