Geometry of Spinning Ellis Wormholes

TL;DR

This paper provides a comprehensive analysis of spinning Ellis wormholes supported by phantom fields, exploring their geometric properties, global charges, and relation to extremal Kerr black holes, including geodesic behavior and bound orbits.

Contribution

It introduces detailed solutions for spinning Ellis wormholes, including mass formulas, quadrupole moments, and geometric features, highlighting their connection to extremal Kerr black holes.

Findings

Symmetric and non-symmetric wormholes have different global charge properties.

Wormholes possess limiting configurations akin to extremal Kerr black holes.

Geodesic analysis reveals the existence of bound orbits within these wormholes.

Abstract

We give a detailed account of the properties of spinning Ellis wormholes, supported by a phantom field. The general set of solutions depends on three parameters, associated with the size of the throat, the rotation and the symmetry of the solutions. For symmetric wormholes the global charges possess the same values in both asymptotic regions, while this is no longer the case for non-symmetric wormholes. We present mass formulae for these wormholes, study their quadrupole moments, and discuss the geometry of their throat and their ergoregion. We demonstrate, that these wormholes possess limiting configurations corresponding to an extremal Kerr black hole. Moreover, we analyze the geodesics of these wormholes, and show that they possess bound orbits.