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What Is a Singularity in Geometrized Newtonian Gravitation?

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Dec 2014Embargo end date: 01 Jan 2013 English Publisher:Cambridge University Press (CUP)Journal:Philosophy of Science, volume 81, pages 1,077-1,089 (issn: 0031-8248, eissn: 1539-767X, Copyright policy )
Authors: Weatherall, James Owen;

doi: 10.1086/678239 , 10.48550/arxiv.1308.1722

arXiv: http://arxiv.org/abs/1308.1722

What Is a Singularity in Geometrized Newtonian Gravitation?

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 theorem.

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Keywords

Physics - History and Philosophy of Physics, Classical Physics (physics.class-ph), History and Philosophy of Physics (physics.hist-ph), FOS: Physical sciences, Physics - Classical Physics, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 7
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Average
Green
bronze
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