Effects of an Electric Charge on Casimir Wormholes: Changing the Throat Size

TL;DR

This paper explores how electric charge influences Casimir wormholes, showing that the throat size can be adjusted via charge, affecting traversability while still violating the Null Energy Condition.

Contribution

It introduces an electrovacuum model combining Casimir energy and electric charge, demonstrating how charge modifies wormhole throat size and traversability.

Findings

Electric charge alters the wormhole throat size.

The Null Energy Condition remains violated despite positive electromagnetic energy density.

Traversability can be slightly increased by electric charge.

Abstract

In this paper we continue the investigation about the connection between Casimir energy and the traversability of a wormhole. In addition to the negative energy density obtained by a Casimir device, we include the effect of an electromagnetic field generated by an electric charge. This combination defines an electrovacuum source which has an extra parameter related to the size of the throat. Even if the electromagnetic energy density is positive the Null Energy Condition is still violated. The main reason is that the electromagnetic field satisfies the property $\rho=-p_{r}$. As a consequence the Traversable Wormhole throat can be changed as a function of the electric charge. This means that the throat is no more Planckian and the traversability is little less in principle but little more in practice.