Traversable Casimir wormholes in<i>D</i>dimensions
Pedro Henrique Ferreira de Oliveira, G. Alencar, I. C. Jardim, R. R. Landim
Abstract
Wormholes (WHs) require negative energy, and therefore an exotic matter source. Since Casimir energy is negative, it has been speculated as a good candidate to source those objects a long time ago. However, only very recently, a full solution for [Formula: see text] has been found by [R. Garattini, Eur. Phys. J. C 79, 951 (2019), doi:10.1140/epjc/s10052-019-7468-y] thus the Casimir energy can be a source of traversable WHs. Soon later [G. Alencar, V. B. Bezerra and C. R. Muniz, arXiv:2104.13952 [gr-qc]] have shown, that this is not true in [Formula: see text]. In this paper, we show that Casimir energy can be a source of the Morris–Thorne WH for all spacetime with [Formula: see text]. Finally, we add the cosmological constant and find that for [Formula: see text] Casimir WHs are possible, however, the space must always be AdS. For [Formula: see text], we show that the cosmological constant invert the signal with increasing throat size.