New rotating Lorentzian wormhole spacetime

TL;DR

This paper constructs a new rotating Lorentzian wormhole spacetime using Azreg-A"inou's method, analyzes its properties, and compares its shadow to Kerr black holes and observational data.

Contribution

It introduces a novel rotating wormhole solution obtained via a different method from the standard Newman-Janis algorithm, and examines its physical and observational features.

Findings

The spacetime is regular and retains wormhole characteristics.

Energy conditions are violated, indicating exotic matter.

The shadow differs from Kerr black holes, with implications for observations.

Abstract

A rotating version of a known static, spherically symmetric, zero Ricci scalar Lorentzian wormhole is constructed. It turns out that for this given non-rotating geometry, the standard Newman-Janis algorithm does not produce a rotating wormhole and, therefore, the method pioneered by Azreg-A\"inou has to be used. The rotating spacetime thus obtained is shown to be regular with wormhole features, though it is no longer a $R=0$ spacetime. The required matter is found to violate the energy conditions, as expected. A few other characteristic properties of this new rotating spacetime are mentioned. Finally, we calculate the shadow for this geometry and discuss its features {\em vis-a-vis} the Kerr geometry and available event horizon telescope observations.