PT Journal AU Yang, WQ Pan, S Di Valentino, E Mena, O Melchiorri, A TI 2021-H-0 odyssey: closed, phantom and interacting dark energy cosmologies SO Journal of Cosmology and Astroparticle Physics JI J. Cosmol. Astropart. Phys. PY 2021 BP 008 EP 21pp VL 10 IS 10 DI 10.1088/1475-7516/2021/10/008 LA English DE baryon acoustic oscillations; cosmological parameters from CMBR; cosmological perturbation theory; dark energy theory AB Up-to-date cosmological data analyses have shown that (sigma) a closed universe is preferred by the Planck data at more than 99% CL, and (b) interacting scenarios offer a very compelling solution to the Hubble constant tension. In light of these two recent appealing scenarios, we consider here an interacting dark matter-dark energy model with a non-zero spatial curvature component and a freely varying dark energy equation of state in both the quintessential and phantom regimes. When considering Cosmic Microwave Background data only, a phantom and closed universe can perfectly alleviate the Hubble tension, without the necessity of a coupling among the dark sectors. Accounting for other possible cosmological observations compromises the viability of this very attractive scenario as a global solution to current cosmological tensions, either by spoiling its effectiveness concerning the H-0 problem, as in the case of Supernovae Ia data, or by introducing a strong disagreement in the preferred value of the spatial curvature, as in the case of Baryon Acoustic Oscillations. ER