Testing spatial curvature in an anisotropic extension of wCDM model with low redshift data

In this letter, we report the observational constraints on a Bianchi type I anisotropic extension of wCDM model with spatial curvature from observational data including Baryon Acoustic Oscillations (BAO), Cosmic chronometers (CC), Big Bang nucleosynthesis (BBN), Pantheon+ (PP) compilation of SNe Ia and SH0ES Cepheid host distance anchors. The anisotropy is found to be of the order 10⁻¹³, which interplay with spatial curvature to reduce H₀ tension by ~ 1σ as found in the analyses with BAO+CC+BBN+PP combination of data, while no significant effect of anisotropy is observed with BAO+CC+BBN+PPSH0ES combination of data. A closed Universe is favored by wCDM as well as anisotropic wCDM models with spatial curvature in analyses with BAO+CC+BBN+PP combination of data. An observation of an open Universe from wCDM model with spatial curvature in analyses with BAO+CC+BBN+PPSH0ES combination of data and a closed Universe from anisotropic wCDM model with curvature in analyses with same combination of data is made. The quintessence form of dark energy is favored at 95% CL in both analyses.