Rotating Casimir Wormholes

TL;DR

This paper investigates rotating configurations of Casimir wormholes, showing that rotation does not alter their structure and addressing stability issues with additional sources and cut-offs.

Contribution

It extends static Casimir wormhole models to include rotation, analyzing two configurations and ensuring Einstein equations are satisfied with new sources.

Findings

Rotation does not change the wormhole structure.

Radially varying plates require a cut-off to prevent infinite rotation.

An additional thermal stress tensor source ensures Einstein equation consistency.

Abstract

A Casimir Wormhole is a Traversable Wormhole powered by a Casimir energy source within a static reference frame. A natural extension of this system is the inclusion of rotation. We will explore two basic configurations: one with radially varying Casimir plates and another with parametrically fixed plates. In both cases, we will show that rotations do not alter the structure of a Casimir wormhole, and the behavior observed in a static frame is reaffirmed. Since the case with radially varying plates predicts a constant angular velocity as a solution, we must introduce an exponential cut-off and an additional scale to prevent rotations at infinity. This adjustment is not necessary when the plates are kept parametrically fixed. Moreover, the consistency of the Einstein Field Equations is ensured with the help of an additional source without an accompanying energy density, which we interpret as a thermal stress tensor.