Homogeneous and isotropic universe. Homogeneity and isotropy in cosmology is a formal, active area of study, and it has many highly-credible experts. Current work being reviewed includes that of scholars such as Andrei Linde of Stanford with his 2014 report, Inflationary Cosmology after Planck 2013 (84-pages). Also there is the September 2016 article by Xingang Chen and Hossein Namjoo of the Institute for Theory and Computation (Harvard-Smithsonian Center for Astrophysics) and Mohammad Yi Wang of the Hong Kong University of Science and Technology, A Direct Probe of the Evolutionary History of the Primordial Universe.
Your recommendations for additional references are welcomed and encouraged.