Rotating Casimir Wormholes

TL;DR

This work extends Casimir wormhole solutions to rotating spacetimes by constructing a stationary axisymmetric metric with rotation and analyzing two plate configurations: radially varying plates and parametrically fixed plates. The study enforces a G_{r\theta}=0 constraint and recovers the static CW in the non-rotating limit, finding that a constant angular velocity $\Omega$ solves the EFEs in both cases, but only the radially varying-plate setup requires an exponential damping profile $\Omega(r)=\Omega e^{-\mu(r-r_0)}$ to avoid global dragging and to confine rotation near the throat. The null energy condition remains violated at the throat (in ZAMO frames), while ergoregion constraints bound the admissible rotation; the fixed-plate scenario naturally yields a small rotation outside the throat without damping. Overall, the results show that rotating Casimir wormholes can be realized with controlled rotation profiles, clarifying how rotation interacts with Casimir energy and energy-condition requirements in axisymmetric wormhole spacetimes.

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.