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What Is a Singularity in Geometrized Newtonian Gravitation?
Philosophy of Science 81 (5):1077-1089 (2014)
Abstract
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 theoremAuthor's Profile
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Citations of this work
On Gravitational Energy in Newtonian Theories.Neil Dewar & James Owen Weatherall - 2018 - Foundations of Physics 48 (5):558-578.
Classical Spacetime Structure.James Owen Weatherall - 2022 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to Philosophy of Physics. London, UK: Routledge.
On the Status of Newtonian Gravitational Radiation.Niels Linnemann & James Read - 2021 - Foundations of Physics 51 (2):1-16.
Would two dimensions be world enough for spacetime?Samuel C. Fletcher, J. B. Manchak, Mike D. Schneider & James Owen Weatherall - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 63:100-113.
References found in this work
Topics in the Foundations of General Relativity and Newtonian Gravitation Theory.David B. Malament - 2012 - Chicago: Chicago University Press.
Bangs, Crunches, Whimpers, and Shrieks: Singularities and Acausalities in Relativistic Spacetimes.John Earman - 1995 - Oxford University Press.
Newtonian Spacetime Structure in Light of the Equivalence Principle.Eleanor Knox - 2014 - British Journal for the Philosophy of Science 65 (4):863-880.
Foundations and current problems of general relativity (notes by graham dixon, petros florides and gerald lemmer).Andrzej Trautman - 1965 - In A. Trautman (ed.), Lectures on general relativity. Englewood Cliffs, N.J.,: Prentice-Hall. pp. 1--1.
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