Role of holographic dark energies in preserving stability of thin-shell wormholes in charged torus black holes

In this paper, we investigate the stability of thin-shell wormholes derived from charged torus black holes filled with various holographic dark energies. Implementing the reduced form of the Einstein field equations, we determine the stress–energy tensor constituents of the matter at the shell and employ a linearized radial perturbation approach to assess stability across different holographic dark energy models. Our findings indicate that the presence of holographic dark energies contributes to preserving the stability of the shell near the anticipated position of the event horizon, particularly for the minimum charge value. Notably, the Bekenstein-Hawking holographic dark energy model and Moradpour et al. holographic dark energy model demonstrate the largest stable regions. Also, the new Renyi and Tsallis holographic dark energy models also maintain the stability of the developed wormhole structure for the choice of massive black holes with smaller values of charge.

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