Chris J. Clarke
Abstract
Abstract It is shown that the differentiability of a space-time is implied by that of its Riemann tensor, assuming a priori only boundedness of the first derivations of the metric. Consequently all the results on space-time singularities proved in earlier papers by the author hold true in C2− space-times.
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Abstract It is shown that the differentiability of a space-time is implied by that of its Riemann tensor, assuming a priori only boundedness of the first derivations of the metric. Consequently all the results on space-time singularities proved in earlier papers by the author hold true in C2− space-times.
Key concepts: Differentiable function, Space (punctuation), Gravitational singularity, Mathematics, Metric (unit), Riemann hypothesis, A priori and a posteriori, Tensor (intrinsic definition)