Stability of thin-shell wormholes with charge in F(R) gravity (presentación oral, coautor)

GRISELDA FIGUEROA AGUIRRE; ERNESTO F. EIROA

La Falda, Córdoba

Conferencia; Grav17; 2017

FAMAF, Universidad de Córdoba, Argentina

Several theories that modify General Relativity have been proposed in order to avoid the use of exotic fluids for explaining the accelerated expansion of the Universe. One class of  them corresponds to F(R) gravity theories, in which Einstein-Hilbert Lagrangian is replaced by a function F(R) of the curvature scalar R. To analyze the behavior of the of thin layers of matter in these theories, it is possible to adopt the  thin-shell formalism. Such formalism allows to match different solutions across a hypersurface and provides junction conditions which are an extension of those in General Relativity. Here we offer a brief review of the thin-shell formalism in F(R) gravity and via its implementation we construct traversable wormholes with a throat at the joining shell. We consider the particular case of spherically symmetric configurations with electromagnetic charge and analyze their stability under radial perturbations. We show that static solutions can be stable for suitable values of the parameters of the model.