I argue that maximal extension makes improbable assumptions about future conditions. I start by looking at the Schwarzschild metric, and showing that it does not quite represent the exterior of a collapsed star, although it is easy to argue that the mismatch is immaterial. I then look at the collapse of a cloud of dust using the Robinson Walker metric, which might seem to justify using the Schwarzschild metric to describe the exterior of a black hole. I then show how the Schwarzschild metric is modified when the interior is a collapsed dust cloud, and finally show how the maximal extension of a Schwarzschild black hole makes unrealistic assumptions about the future.
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[v1] 2017-04-19 10:09:41
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