Rotating wormholes in five dimensions with equal angular momenta: large asymmetry regime

TL;DR

This paper investigates five-dimensional rotating wormholes with equal angular momenta, revealing how rotation influences energy condition violations and their relation to black hole geometries, especially in large angular momentum regimes.

Contribution

It clarifies the impact of rotation on null energy condition violations in five-dimensional wormholes with asymmetry and explores their connection to extremal Myers-Perry black holes.

Findings

Null energy condition violation depends mainly on angular momentum.

Large angular momentum causes the geometry to approach extremal Myers-Perry black holes.

Non-extremal black hole geometries are not attainable in this setup.

Abstract

We clarify the relationship between rotation and the energy condition for stationary rotating wormhole solutions of the Einstein equations coupled to a phantom field in five-dimensional spacetime with equal angular momenta, particularly with large asymmetry between the two sides. It was shown by Dzhunushaliev et al. that the violation of the null energy condition can become arbitrarily small due to rotation. We find that the degree of violation of the null energy condition is essentially determined by the angular momentum and shows little dependence on asymmetry, that is, the mass difference between the two asymptotic regions. We also discuss the relation between the wormhole spacetime and the Myers-Perry black hole. We find that the geometry asymptotes to the extremal Myers-Perry spacetime in the limit of large angular momentum, while the non-extremal black hole geometry cannot be reproduced in any limit.