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General Relativity and Quantum Cosmology

arXiv:gr-qc/0409022 (gr-qc)
[Submitted on 5 Sep 2004 (v1), last revised 20 Dec 2004 (this version, v2)]

Title:Future Singularities of Isotropic Cosmologies

Authors:Spiros Cotsakis, Ifigeneia Klaoudatou
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Abstract: We show that globally and regularly hyperbolic future geodesically incomplete isotropic universes, except for the standard all-encompassing `big crunch', can accommodate singularities of only one kind, namely, those having a non-integrable Hubble parameter, $H$. We analyze several examples from recent literature which illustrate this result and show that such behaviour may arise in a number of different ways. We also discuss the existence of new types of lapse singularities in inhomogeneous models, impossible to meet in the isotropic ones.
Comments: v2: 16 pages, references added, clarrifications throughout, version to appear in the this http URL
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:gr-qc/0409022
  (or arXiv:gr-qc/0409022v2 for this version)
  https://doi.org/10.48550/arXiv.gr-qc/0409022
Journal reference: J.Geom.Phys. 55 (2005) 306-315
Related DOI: https://doi.org/10.1016/j.geomphys.2004.12.012

Submission history

From: Spiros Cotsakis [view email]
[v1] Sun, 5 Sep 2004 17:52:00 UTC (11 KB)
[v2] Mon, 20 Dec 2004 09:59:16 UTC (12 KB)
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