Authors: Steven Kenneth Kauffmann
Over a period spanning at least the past fifteen years it has been repeatedly pointed out that the singularities and event horizons which arise from the Oppenheimer-Snyder ostensible calculation of the gravitational contraction of a localized sphere of dust are at odds with the Principle of Equivalence: notably the timelike geodesic trajectory which that Principle requires for every dust particle precludes any such dust particle from encountering an infinite redshift. Sweeping abstract arguments on the incompatibility of the Principle of Equivalence with an infinite redshift or other singularities have also been advanced. Scrutiny of the Oppenheimer-Snyder calculation shows that it never deals from scratch with localized dust; its one calculation from scratch is a Friedmann model variant with the archetypal Friedmann uniform dust density that pervades the entirety of space. This very unrealistic model, which inter alia has infinite energy, exhibits singularities and violations of the Principle of Equivalence. Since the Birkhoff theorem doesn't apply to Friedmann models because they have no empty space region, the Oppenheimer-Snyder follow-on instruction to utilize a spliced-on Schwarzschild metric beyond some arbitrarily specified radius contravenes logic.
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