A Novel Cosmic Framework of Interdependent Dark Matter and Holographic Dark Energy within the Bianchi Type-V Universe

We study an anisotropic and homogeneous Bianchi type-V Universe with holographic dark energy (HDE) and interacting dark matter (DM). Solutions to the field equations have been obtained for a certain form of the deceleration parameter. As for $$\Lambda$$ CDM, we show that the coincidence problem disappears for a specific choice of the DM-HDE interaction. In this study, the observational data combination of OHD and JLA [Yu et al., Astrophys. J. 856, 3 (2018)], where $$q_{0}=-0.52$$ and $$H_{0}=69.2$$ , have been taken into consideration. We also found that the anisotropy of the expansion tends to isotropy after some finite time. We have also explained the physical and geometric aspects of the model. The physical acceptability and stability of the model have been examined.