Dr. Robin Barnard,
I note your comments here:
You are wrong. Clearly you did not pay attention to what is actually written in my paper. All alleged black hole universes are infinite because they are either asymptotically flat or asymptotically curved spacetimes by their very definition. There is no bound on asymptotic because otherwise it would not be asymptotic.Without the asymptotic condition the mathematical expressions purporting black holes do not obtain. The black hole universe is thus not contained within its 'event horizon' as you evidently imagine. Moreover, all alleged big bang universes in which black holes are supposed to reside are not asymptotically anything and therefore do not satisfy the asymptotic condition of the black hole spacetime. Consequently a black hole universe and a big bang universe can't coexist, by their very definitions. It is not I who has a fundamental misconception. If you think asymptotically flat and asymptotically curved spacestimes do not extend indefinitely, provide your means by which they stop somewhere, and specify precisely where they stop. So far you have only adduced the same old demonstrable nonsense.
And what mathematics is it you allege I don't understand? You have not substantiated your allegation. There are some 60 pages of mathematical appendices in the paper. It seems you did not notice them. Please explain to us all where my mathematics is incorrect.
Stephen J. Crothers
16 September 2014