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What is a Singularity in Geometrized Newtonian Gravitation?

I discuss singular spacetimes in the context of the geometrized formulation of Newtonian gravitation. I argue first that geodesic incompleteness is a natural criterion for when a model of geometrized Newtonian gravitation is singular, and then I show that singularities in this sense arise naturally in classical physics by stating and proving a classical version of the Raychaudhuri-Komar singularity theorem.

preprint2013arXivOpen access
James Owen Weatherall
gr-qcphysics.class-phphysics.hist-ph
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James Owen Weatherall

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