Future Singularities of Isotropic Cosmologies

Details Future Singularities of Isotropic Cosmologies Future Singularities of Isotropic Cosmologies

2004-09-05

arxiv.org/abs/gr-qc/0409022v2

J.Geom.Phys. 55 (2005) 306-315

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v2: 16 pages, references added, clarrifications throughout, version to appear in the J.Geom.Phys

Scientific paper

10.1016/j.geomphys.2004.12.012

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.

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