Traversable Casimir Wormholes in D Dimensions

TL;DR

This paper demonstrates that Casimir energy can source traversable wormholes in D-dimensional spacetimes with D > 3, and explores the effects of the cosmological constant, including in AdS spaces for D=3.

Contribution

It generalizes the conditions under which Casimir energy can support traversable wormholes to all dimensions greater than three, including the impact of the cosmological constant.

Findings

Casimir energy sources traversable wormholes for D > 3

In D=3, wormholes are possible only in AdS space with a cosmological constant

Cosmological constant affects wormhole properties, especially with increasing throat size

Abstract

Wormholes (WH) require negative energy, and therefore an exotic matter source. Since Casimir energy is negative, it has been speculated as a good candidate to source that objects a long time ago. However only very recently a full solution for D = 4 has been found by Garattini [1], thus the Casimir energy can be a source of traversable WHs. Soon later Alencar et al [2] have shown, that this is not true in D = 3. In this paper, we show that Casimir energy can be a source of the Morris-Thorne WH for all spacetime with D > 3. Finally, we add the cosmological constant and find that for D = 3 Casimir WHs are possible, however, the space must always being AdS. For D > 3, we show that the cosmological constant invert the signal with increasing throat size.