Rotating Ellis Wormholes in Four Dimensions

TL;DR

This paper introduces rotating wormhole solutions in four-dimensional General Relativity supported by a phantom scalar field, showing how rotation deforms the static Ellis wormhole into an extremal Kerr black hole at maximal rotation.

Contribution

It provides the first explicit rotating wormhole solutions in four dimensions that connect static Ellis wormholes to extremal Kerr black holes through increasing rotation.

Findings

Rotating wormholes develop ergospheres.

They have finite mass and quadrupole moments.

Throat deformation depends on rotational velocity.

Abstract

We present rotating wormhole solutions in General Relativity, which are supported by a phantom scalar field. These solutions evolve from the static Ellis wormhole, when the throat is set into rotation. As the rotational velocity increases, the throat deforms until at a maximal value of the rotational velocity, an extremal Kerr solution is encountered. The rotating wormholes attain a finite mass and quadrupole moment. They exhibit ergospheres and possess bound orbits.