Exact rotating magnetic traversable wormhole satisfying the energy conditions

Abstract

In this work we wonder if there is a way to generate a wormhole (WH) in nature using ``normal'' matter. In order to give a first answer to this question, we study a massless scalar field coupled to an electromagnetic one (dilatonic field) with an arbitrary coupling constant as source of curvature. Using this source, we obtain an exact solution of the Einstein equations, which represents a magnetized rotating WH. The space-time is everywhere regular except for a naked ring singularity, which we show to be causally disconnected from the rest of the Universe in the case of a slowly rotating WH. The throat of the WH lies on the disc bounded by the ring singularity and, surprisingly enough, it can be kept open without requiring exotic matter, which means, satisfying all the energy conditions. After analyzing the geodesic motion and the tidal forces we find that a test particle can go through the WH without trouble.