Abstract
In this article, we consider spherical thin shells of matter surrounding black holes in F(R) theories of gravity. We study the stability of the static configurations under perturbations that conserve the symmetry. In particular, we analyze the case of charged shells outside the horizon of non-charged black holes. We obtain that stable static thin shells are possible if the values of the parameters of the model are properly selected.
Highlights
The Darmois–Israel junction conditions [18,19] provide the tools for matching two solutions across a hypersurface in General Relativity
We construct spherical thin shells surrounding non-charged black holes by using the junction conditions in F(R) gravity and we analyze the stability of the static configurations under perturbations that preserve the symmetry
We have studied spherically symmetric thin shells of matter around black holes within F(R) theories of gravity
Summary
The Darmois–Israel junction conditions [18,19] provide the tools for matching two solutions across a hypersurface in General Relativity. In quadratic F(R) gravity, the hypersurface has in general, in addition to the standard energy–momentum tensor, an external energy flux vector, an external scalar pressure (or tension), and another energy–momentum contribution resembling classical dipole distributions. All these contributions have to be present [44–46] in order to have a divergence-free energy–momentum tensor, which guarantees local conservation. We construct spherical thin shells surrounding non-charged black holes by using the junction conditions in F(R) gravity and we analyze the stability of the static configurations under perturbations that preserve the symmetry.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
