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arXiv · 2405.08774

Generating 4-dimensional Wormholes with Yang-Mills Casimir Sources

A. C. L. Santos·R. V. Maluf·C. R. Muniz
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Abstract

This work presents a new wormhole solution in General Relativity supported by the quantum vacuum fluctuations of the Casimir effect between perfect chromometallic mirrors in $(3+1)$ dimensions, which was recently fitted using first-principle numerical simulations. Initially, we employ a perturbative approach for $x = m r \ll 1$, where $m$ represents the Casimir mass. This approach has proven to be a reasonable approximation when compared with the exact case in this regime. To find well-behaved redshift functions, we impose constraints on the free parameters. As expected, this solution recovers the electromagnetic-like Casimir solution for $m = 0$. Analyzing the traversability conditions, we graphically find that all will be satisfied for $ 0 \leq m \leq 0.20$. On the other hand, all the energy conditions are violated, as usual in this context. Stability from Tolman-Oppenheimer-Volkov (TOV) equation is guaranteed for all $r$ and from the speed of sound for $0.16 \le m \le 0.18$. Therefore, for $0.16 \leq m \leq 0.18$, we will have a stable solution that satisfies all traversability conditions.

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A. C. L. Santos, R. V. Maluf, C. R. Muniz. 2024-05-14. Generating 4-dimensional Wormholes with Yang-Mills Casimir Sources. https://doi.org/10.1016/j.aop.2024.169775

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