What is a Singularity in Geometrized Newtonian Gravitation?
Classical Physics
2013-08-09 v1 General Relativity and Quantum Cosmology
History and Philosophy of Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1308.1722,
title = {What is a Singularity in Geometrized Newtonian Gravitation?},
author = {James Owen Weatherall},
journal= {arXiv preprint arXiv:1308.1722},
year = {2013}
}
Comments
16 pages. Contribution to a symposium entitled "New Horizons for Singularities in Classical Spacetime Theories" at the Philosophy of Science Association 2012 Biennial Conference