Charged traversable wormholes: charge without charge

TL;DR

This paper explores charged wormhole solutions supported by anisotropic matter, assessing their physical plausibility, traversability, and observational signatures, and attempts to extend them to rotating cases, illustrating the concept of "charge without charge."

Contribution

It introduces new charged wormhole solutions of Einstein-Maxwell equations and investigates their physical properties and potential observational effects, including rotating generalizations.

Findings

Wormhole solutions satisfy flare-out and tidal force conditions for traversability.

Light deflection analysis suggests observable signatures of these wormholes.

Constructed rotating wormhole geometries via modified Newman-Janis algorithm.

Abstract

We present and investigate charged wormhole solutions of the Einstein-Maxwell equations supported by anisotropic matter fields, with the purpose of establishing their physical plausibility as traversable wormholes. To this end, we examine the flare-out condition and evaluate tidal forces to confirm their traversability. We also analyze light deflection around these wormholes to provide observational implications. Additionally, we attempt to construct rotating generalizations of the solutions by applying and modifying the Newman-Janis algorithm. Our results suggest that the obtained geometries offer a concrete realization of the concept of ``charge without charge".