Axially symmetric rotating traversable wormholes

TL;DR

This paper extends static spherically symmetric traversable wormholes to rotating, axially symmetric models with time-dependent angular velocity, showing reduced energy condition violations and improved tidal constraints due to rotation.

Contribution

It provides an exact solution for rotating axially symmetric wormholes and analyzes how rotation affects energy conditions and tidal constraints, revealing less severe violations and easier constraint satisfaction.

Findings

Rotation reduces weak energy condition violations.

Tidal constraints are more easily satisfied in rotating wormholes.

Angular velocity's magnitude has little effect on energy condition violations.

Abstract

This paper generalizes the static and spherically symmetric traversable wormhole geometry to a rotating axially symmetric one with a time-dependent angular velocity by means of an exact solution. It was found that the violation of the weak energy condition, although unavoidable, is considerably less severe than in the static spherically symmetric case. The radial tidal constraint is more easily met due to the rotation. Similar improvements are seen in one of the lateral tidal constraints. The magnitude of the angular velocity may have little effect on the weak energy condition violation for an axially symmetric wormhole. For a spherically symmetric one, however, the violation becomes less severe with increasing angular velocity. The time rate of change of the angular velocity, on the other hand, was found to have no effect at all. Finally, the angular velocity must depend only on the radial coordinate, confirming an earlier result.