Rotating Casimir wormholes

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 cutoff 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.