Wikipedia provides a substantial introduction to homogeneity and isotropy. Notwithstanding, homogeneity and isotropy in cosmology has been the domain of highly-respective 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.
Homogeneous and isotropic universe.
Our work may extend the basic assumptions of Einstein’s special theory of relativity.