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arXiv · 2304.11131

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

Alana C. L. Santos·Célio R. Muniz·Roberto V. Maluf
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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.

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Alana C. L. Santos, Célio R. Muniz, Roberto V. Maluf. 2023-04-21. Yang-Mills Casimir wormholes in $D=2+1$. https://doi.org/10.1088/1475-7516%2F2023%2F09%2F022

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