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Classification of cosmological milestones

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arxiv gr-qc/0607073 v1 pith:IELX7DUB submitted 2006-07-19 gr-qc astro-phhep-th

classification gr-qcastro-phhep-th
keywords cosmologicalmodelsgeodesicallylightlikealllowedanalysedbeencausal
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In this paper causal geodesic completeness of FLRW cosmological models is analysed in terms of generalised power expansions of the scale factor in coordinate time. The strength of the found singularities is discussed following the usual definitions due to Tipler and Krolak. It is shown that while classical cosmological models are both timelike and lightlike geodesically incomplete, certain observationally alllowed models which have been proposed recently are lightlike geodesically complete.

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    New sign-switching dark energy models with ladder, smooth-step and error-function profiles are introduced and compared, with continuous transitions shown to convert the Lambda_sCDM sudden singularity into a milder w-s...

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