Einstein-Maxwell-dilaton wormholes that meet the energy conditions
One of the latest predictions of Einstein's theory is the existence of wormholes (WHs). 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 delineate the optimal traversal regions for two classes of solutions. The solution referenced in ${\ensuremath{\lambda}}_{5}$ allows for secure passage in proximity to the poles and the equatorial plane. Conversely, the solution in ${\ensuremath{\lambda}}_{N1}$ tends to favor trajectories near the poles and the equatorial plane; however, it affords greater flexibility. This study shows that solutions incorporating a dilatonic scalar field satisfy the null energy condition. 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.
Authors
- Tonatiuh Matos (ORCID: https://orcid.org/0000-0002-0570-7246)
- Leonel Bixano (ORCID: https://orcid.org/0009-0009-5858-6466)
Institutions
- Instituto de Estudios Avanzados (VE)
- Instituto Politécnico Nacional (MX)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-04-22
- DOI
- https://doi.org/10.1103/physrevd.111.084056
- Citations
- 2
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 3.74