Generating 4-dimensional Wormholes with Yang-Mills Casimir Sources

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 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 ≤ m ≤ 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 ≤ m ≤ 0.18. Therefore, for 0.16 ≤ m ≤ 0.18, we will have a stable solution that satisfies all traversability conditions.