English

Traversable Casimir Wormholes in D Dimensions

High Energy Physics - Theory 2022-07-06 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.2107.00605,
  title  = {Traversable Casimir Wormholes in D Dimensions},
  author = {P. H. F. Oliveira and G. Alencar and I. C. Jardim and R. R. Landim},
  journal= {arXiv preprint arXiv:2107.00605},
  year   = {2022}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-24T03:48:57.192Z