Sources of matter for wormholes in a k-essence theory

Abstract

In this work, we analyze some matter sources associated with wormhole models within a k-essence theory coupled to the gravitational sector through a phantom scalar field. We adopt a spherically symmetric background in (3+1) dimensions and consider two types of systems: electrically and magnetically charged. In the first case, we consider the generalized Ellis-Bronnikov model, in which we fix the k-essence field exponent to $n=1/2$ and take the parameter $m\ge 2$, where $m$ is the parameter that modifies the area of this wormhole model. From this we obtained the expression for the scalar field, the potential, and the associated electromagnetic functions for any values of the parameter $m\geq{2}$. In the second and third models, we consider the scenario of two wormholes that are structured according to the adjustment of the parameters that define their area function $\Sigma^2$, and in both cases we adopt $n=1/2$. Finally, we show that the violation of the null energy conditions is conditioned by the parameters of the area function.