Charged rotating Casimir wormholes

Abstract

We investigate the conditions under which a rotating traversable wormhole can be supported by a Casimir source in the presence of an external electric field. Extending previous studies of static Casimir wormholes and neutral rotating configurations, we construct an electrically charged rotating Casimir wormhole solution and determine the thermal stress-energy tensor required to consistently satisfy the Einstein field equations. A particularly simple configuration arises when the rotation is constant and coincides with that measured by a zero-angular-momentum observer (ZAMO). In this case, the rotating wormhole preserves the same redshift and shape functions as the well-known static charged Casimir case, provided that the angular velocity and thermal components satisfy specific constraints imposed by the field equations. We also examine a configuration in which the angular velocity depends on the radial coordinate and decreases exponentially away from the throat. This damping mechanism removes the unrealistic persistence of frame dragging at large distances, while still allowing a consistent solution supported by Casimir, electromagnetic and thermal contributions.

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