Dark Energy Parameterization in Wormhole

In this paper, a wormhole solution incorporating various dark energy parameterizations has been presented. Three chosen dark energy parameterizations, namely CPL, JBP, and BA, are employed at first to derive the Hubble parameter in terms of redshift through Friedmann’s equations for general relativity. After employing the Metropolis–Hastings Markov Chain Monte Carlo to sample the parameters of each dark energy parametrization, it is found that dark energy is characterized by ω 0 > − 1 , ω a < 0, and ω 0 + ω a < − 1 , consistent with Quintom-B type behavior rather than a cosmological constant. A comparative statistical analysis relative to the baseline ΛCDM model using | Δ ln Z Λ CDM , Model | shows that, while CPL, JBP, and BA provide weak or inconclusive evidence with CC + DESI DR2 and Pantheon + datasets, they achieve moderate support when DES-SN5Y and Union3 are included, with JBP and CPL being particularly favored. With the best-fit values so obtained, the shape function b ( r ) is calculated for all three dark energy models while the redshift function is chosen as Φ ( r ) = − 2 η / r , η being a dimensionless constant. Traversability conditions associated with the wormhole shape function are then studied through graphs, and also the validity of the four types of energy conditions, namely null, weak, dominant, and strong, is investigated for the derived wormhole solutions. Lastly, stability analysis of the wormhole solutions are performed via the TOV equation and speed of sound.