Dark energy fingerprints in the nonminimal Wu-Yang wormhole structure

TL;DR

This paper presents new exact solutions for nonminimally extended Einstein-Yang-Mills wormholes influenced by dark energy, analyzing their properties, horizons, and traversability conditions.

Contribution

It introduces three novel classes of exact solutions for nonminimal Einstein-Yang-Mills wormholes in dark energy environments, including anisotropic, isotropic, and constant pressure models.

Findings

Identified conditions for traversable wormholes with nonminimal coupling.

Derived constraints on dark energy parameters for horizon avoidance.

Provided explicit solutions for different dark energy equations of state.

Abstract

We discuss new exact solutions to nonminimally extended Einstein-Yang-Mills equations describing spherically symmetric static wormholes supported by the gauge field of the Wu-Yang type in a dark energy environment. We focus on the analysis of three types of exact solutions to the gravitational field equations. Solutions of the first type relate to the model, in which the dark energy is anisotropic, i.e., the radial and tangential pressures do not coincide. Solutions of the second type correspond to the isotropic pressure tensor; in particular, we discuss the exact solution, for which the dark energy is characterized by the equation of state for a string gas. Solutions of the third type describe the dark energy model with constant pressure and energy density. For the solutions of the third type, we consider in detail the problem of horizons and find constraints for the parameters of nonminimal coupling and for the constitutive parameters of the dark energy equation of state, which guarantee that the nonminimal wormholes are traversable.