Einstein-Maxwell-Dilaton Wormholes that meet the Energy Conditions

TL;DR

This paper presents exact Einstein-Maxwell-Dilaton wormhole solutions that satisfy energy conditions, are geodesically complete, and could model realistic astrophysical objects, advancing theoretical understanding of traversable wormholes.

Contribution

It introduces new exact solutions for Einstein-Maxwell-Dilaton wormholes that meet energy conditions and analyzes their physical feasibility and astrophysical relevance.

Findings

Solutions satisfy energy conditions and are geodesically complete.

First class solutions are physically feasible.

Second class solutions are not asymptotically flat.

Abstract

One of the latest predictions of Einstein's theory is the existence of Wormholes (WH). In this work, we present exact solutions of the Einstein-Maxwell-Dilaton equations representing traversable Wormholes. These solutions satisfy the energy conditions and have a ring singularity satisfying the cosmic censorship of WHs, i.e. we show that, as in previous solutions, geodesics cannot touch the singularity. We find that the most optimal input regions for the first class of solutions traversing these wormholes are near the poles and near the equatorial plane for the second class. We also find that the solution associated with the first class is physically feasible, while for the second class it presents the problem of not being asymptotically flat when considering a dilatonic-type scalar field. Finally, we give examples of realistic astrophysical objects that could fulfill these conditions.