Testing foundations of modern cosmology with SKA all-sky surveys

Astrophysics, Cosmology & Gravitation and Department of Mathematics & Applied Mathematics, University of Cape Town, Cape Town 7701, South Africa; 4 Department of Physics, University of Michigan, Ann Arbor, MI 48109-1040, USA; 5 Université de Genève, Département de Physique Théorique and CAP, CH-1211 Genève 4, Switzerland; 6 African Institute for Mathematical Sciences, Cape Town 7945, South Africa; 7 Physics Department, University of the Western Cape, Cape Town 7535, South Africa; 8 Jet Propulsion Laboratory, California Institute of Technology, Pasadena CA 91109, USA; 9 California Institute of Technology, Pasadena CA 91125, USA; 10 Department of Physics & Astronomy, Johns Hopkins University, 3400 N. Charles St., Baltimore, MD 21218, USA 11 Laboratoire AIM, UMR