Interacting Bianchi Type-V Universe: Observational Constraints

This investigation focuses on a Bianchi type-V universe characterized by spatial homogeneity and anisotropy, wherein the cosmic medium consists of interacting dark matter and holographic dark energy. We obtain solutions to the field equations by considering the Hubble parameter \(H(z)=(H_{0}/\sqrt{2})\sqrt{1+(1+z)^{2n}}\), and constrain the model parameters. Employing Bayesian analysis and likelihood functions in conjunction with the Markov Chain Monte Carlo (MCMC) method, we determine the following model parameters: \(H_{0}=71.3388^{+0.00010}_{-0.00094}\), and \(n=-1.08147^{+0.00010}_{-0.00010}\). In this study, we constrain the model parameters by using the joint datasets (\(H(z)+\textrm{BAO}+\textrm{Pantheon}\)). We explain the physical and geometric aspects of the model. We also examine the behavior of the velocity of sound and different energy conditions to test the viability of our cosmological model.