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

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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 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.

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Notes

  1. We adopt this name due to the formal resemblance with the usual mass, but it is not a free constant in the solution.

  2. In the same work [24], the study is also extended to a particular case of power-law nonlinear electrodynamics for which a black hole solution is obtained.

  3. The analytic expressions for the radii of the horizons are cumbersome, so they are not shown here.

  4. The remark of F.N. 3 applies again.

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Acknowledgements

This work has been supported by CONICET and Universidad de Buenos Aires.

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Authors and Affiliations

  1. Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina

    Ernesto F. Eiroa & Griselda Figueroa Aguirre

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  1. Ernesto F. Eiroa
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  2. Griselda Figueroa Aguirre
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Correspondence to Ernesto F. Eiroa.

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Eiroa, E.F., Figueroa Aguirre, G. Thin shells in F(R) gravity with non-constant scalar curvature. Eur. Phys. J. Plus 135, 774 (2020). https://doi.org/10.1140/epjp/s13360-020-00793-y

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