标题： 旋转卡西米尔虫洞 显示英文标题

标题： Rotating Casimir Wormholes

摘要： 卡西米尔虫洞是一种在静态参考系中由卡西米尔能量源驱动的可穿越虫洞。 这个系统的自然扩展是包含旋转。 我们将探讨两种基本配置：一种是径向变化的卡西米尔板，另一种是参数固定的板。 在两种情况下，我们将证明旋转不会改变卡西米尔虫洞的结构，并且在静态框架中观察到的行为得到确认。 由于径向变化板的情况预测了一个恒定的角速度作为解，我们必须引入指数截断和一个额外的尺度以防止在无限远处的旋转。 当板保持参数固定时，这种调整是不必要的。 此外，在没有伴随能量密度的情况下，借助一个额外的源来确保爱因斯坦场方程的一致性，我们将这解释为热应力张量。 显示英文摘要

摘要： 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.