Thin-shell wormholes with charge in F(R) gravity

Ernesto F Eiroa,Griselda Figueroa Aguirre

doi:10.1140/epjc/s10052-016-3984-1

Abstract

In this article, we construct a class of constant curvature and spherically symmetric thin-shell Lorentzian wormholes in F(R) theories of gravity and we analyze their stability under perturbations preserving the symmetry. We find that the junction conditions determine the equation of state of the matter at the throat. As a particular case, we consider configurations with mass and charge. We obtain that stable static solutions are possible for suitable values of the parameters of the model.

Highlights

Within the context of General Relativity, the observed accelerated expansion of the universe during the matter dominated epoch requires of the presence of dark energy
We construct thin-shell wormholes with spherical symmetry in F(R) theory with constant curvature and we study their stability under radial perturbations
For the study of the stability of static solutions under perturbations preserving the symmetry, we extend the method developed for General Relativity [8] to F(R) gravity

Summary

Introduction

Within the context of General Relativity, the observed accelerated expansion of the universe during the matter dominated epoch requires of the presence of dark energy. The junction conditions allow to match two solutions onto a hypersurface under different conditions, for example the interior and exterior solutions corresponding to stars, galaxies, etc They are useful for the study of thin layers of matter and in braneworld cosmology. The last one can be interpreted as a gravitational double layer All these contributions should be present in order to make the whole energymomentum tensor divergence-free [47,48]. These results were extended to the most general gravitational theory with a Lagrangian quadratic in the curvature [49]. We construct thin-shell wormholes with spherical symmetry in F(R) theory with constant curvature and we study their stability under radial perturbations.

Wormhole construction

Stability of static configurations

Wormholes with charge

Conclusions