Yang-Mills Casimir wormholes in $D=2+1$

Abstract

This work presents new three-dimensional traversable wormhole solutions sourced by the Casimir density and pressures related to the quantum vacuum fluctuations in Yang-Mills (Y-M) theory. We begin by analyzing the noninteracting Y-M Casimir wormholes, initially considering an arbitrary state parameter $\omega$ and determine a simple constant wormhole shape function. Next, we introduce a new methodology for deforming the state parameter to find well-behaved redshift functions. The wormhole can be interpreted as a legitimate Casimir wormhole with an expected average state parameter of $\omega =2$. Then, we investigate the wormhole curvature properties, energy conditions, and stability. Furthermore, we discover a novel family of traversable wormhole solutions sourced by the quantum vacuum fluctuations of interacting Yang-Mills fields with a more complex shape function. Deforming the effective state parameter similarly, we obtain well-behaved redshift functions and traversable wormhole solutions. Finally, we examine the energy conditions and stability of solutions in the interacting scenario and compare to the noninteracting case.

30 pages, 13 figures, Improved and accepted version for publication in JCAP

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• Casimir Wormholes in Brans-Dicke Theory
• Generating 4-dimensional Wormholes with Yang-Mills Casimir Sources
• Black holes and wormholes in Deser-Woodard gravity
• Casimir traversable wormholes in Gauss-Bonnet gravity