2006
DOI: 10.1103/physrevd.74.064030
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Classification of cosmological milestones

Abstract: 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 Królak. 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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Cited by 156 publications
(177 citation statements)
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“…That is, the first derivative of the scale factor is singular. Depending on the definition used [34,35], they can be either strong or weak [36].…”
Section: Cosmological Singularitiesmentioning
confidence: 99%
“…That is, the first derivative of the scale factor is singular. Depending on the definition used [34,35], they can be either strong or weak [36].…”
Section: Cosmological Singularitiesmentioning
confidence: 99%
“…These less constrained material stresses introduce new possibilities for the evolution of Friedmann universes and can produce unexpected types of finite-time singularity which are far weaker than the curvature singularities that often accompany geodesic incompleteness [5,6,7,8,9,10]. We found [11,12,13] a whole new class of pressure-driven singularities that keep the scale factor, a, the cosmological expansion rate,ȧ/a, and the density, ρ, finite while permitting the pressure, p, and the deceleration −ä/a, to blow up at a finite time despite the energy conditions ρ > 0 and ρ + 3p > 0 holding, and regardless of the three-curvature.…”
Section: Introductionmentioning
confidence: 99%
“…We will present elsewhere the behavior of other dark energy related singularities/events [23][24][25] such as big freeze, sudden singularity, type-IV singularity, little rip, etc., in the EiBI framework [26].…”
mentioning
confidence: 99%