The road to singularities, and the roses on the way

Mathematics

Scientific paper

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Relativity, Singularity (Mathematics), Space-Time Functions, Big Bang Cosmology, Tensors

Scientific paper

A survey of current investigations of space-time singularities is given. The different approaches adopted by various research schools is discussed, and an analogy is drawn between this study and the mounting of an expedition that sets out on a long trail of discovery. A heuristic discussion is given of the latest classification of singularities and some brief comments are made on how physically relevant each type of singularity is. Roughly speaking, it seems that the milder types (at which physical quantities remain well behaved) are pathological cases, whereas the crude 'big-bang' type of singularity is more generic.

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