Rotating Wormholes in Five Dimensions

TL;DR

This paper investigates rotating five-dimensional wormholes with phantom fields, revealing how angular momentum affects their shape, energy condition violations, and stability, and establishing a Smarr-like relation for these solutions.

Contribution

It introduces rotating five-dimensional wormhole solutions with equal angular momenta and analyzes their deformation, energy conditions, and stability properties.

Findings

Angular momenta are bounded by extremal Myers-Perry black holes.

Throat deformation increases with angular momentum.

Unstable modes vanish beyond a critical angular momentum.

Abstract

We consider rotating Lorentzian wormholes with a phantom field in five dimensions. These wormhole solutions possess equal angular momenta and thus represent cohomogeneity-1 configurations. For a given size of the throat, the angular momenta are bounded by the value of the corresponding extremal Myers-Perry black hole, which represents the limiting configuration. With increasing angular momenta the throat becomes increasingly deformed. At the same time, the violation of the null energy condition decreases to zero, as the limiting configuration is approached. Symmetric wormhole solutions satisfy a Smarr-like relation, which is analogous to the Smarr relation of extremal black holes. A stability analysis shows that the unstable mode of the static wormholes solutions vanishes when the angular momentum exceeds some critical value.