Indeed, there does exist a non-orthodox narrow school of thought that preaches about Big Bang as a white hole — for it should be called white, an opposite of black, in our scheme of things. Such models need 5D extended versions of general relativity. Henceforth I'll provide an instructing example, per Physics Letters B, vol. 728 (2014), pp. 244-249. One can treat Universe as the net result of expansion on an effective 4D hypersurface obtained after a constant foliation on the extra space-like coordinate of an extended SdS Ricci-flat metric. The 4D effective spacetime describes a universe that expands on cosmological scales but collapses on astrophysical ones. The behavior of the Universe on large scales is thus similar to that of white hole.