Indeterminacy in classical cosmology with dark matter
History and Philosophy of Physics
2023-03-14 v2 General Relativity and Quantum Cosmology
Abstract
We describe a case of indeterminacy in general relativity for homogeneous and isotropic cosmologies for a class of dark energy fluids. The cosmologies are parametrized by an equation of state variable, with one instance giving the same solution as Norton's mechanical dome. Our example goes beyond previously studied cases in that indeterminacy lies in the evolution of spacetime itself: the onset of the Big Bang is indeterminate. We show further that the indeterminacy is resolved if the dynamics is viewed relationally.
Keywords
Cite
@article{arxiv.2011.01450,
title = {Indeterminacy in classical cosmology with dark matter},
author = {Viqar Husain and Vladimir Tasic},
journal= {arXiv preprint arXiv:2011.01450},
year = {2023}
}
Comments
11 pages; title & abstract changes; references added; version to appear in Foundations of Physics