What Is a Singularity in Geometrized Newtonian Gravitation?

I discuss singular space-times 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...

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Detalles Bibliográficos
Publicado en:Philosophy of Science Vol. 81; no. 5; pp. 1077 - 1090
Autor principal: Weatherall, James Owen
Formato: Artículo
Publicado: Cambridge University Press Dec2014
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:I discuss singular space-times 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.