Eur. Phys. J. C (2018) 78: 54
https://doi.org/10.1140/epjc/s10052-018-5518-5

Regular Article - Theoretical Physics

Spherical thin shells in F(R) gravity: construction and stability

¹ Instituto de Astronomía y Física del Espacio (IAFE, CONICET-UBA), Casilla de Correo 67, Sucursal 28, 1428, Buenos Aires, Argentina
² Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pabellón I, 1428, Buenos Aires, Argentina

^* e-mail: eiroa@iafe.uba.ar

Received: 7 November 2017
Accepted: 30 December 2017
Published online: 21 January 2018

Abstract

We present a broad class of spherical thin shells of matter in F(R) gravity. We show that the corresponding junction conditions determine the equation of state between the energy density and the pressure/tension at the surface. We analyze the stability of the static configurations under perturbations preserving the symmetry. We apply the formalism to the construction of charged bubbles and we find that there exist stable static configurations for a suitable set of the parameters of the model.