New isotropic and anisotropic sudden singularities

By John D. Barrow, Christos G. Tsagas. 2004

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We show the existence of an infinite family of finite-time singularities in isotropically expanding universes which obey the weak, strong and dominant energy conditions. We show what new type of energy condition is needed to exclude them ab initio. We also determine the conditions under which finite-time future singularities can arise in a wide class of anisotropic cosmological models. New types of finite-time singularity are possible which are characterized by divergences in the time rate of change of the anisotropic-pressure tensor. We investigate the conditions for the formation of finite-time singularities in a Bianchi-type VII0 universe with anisotropic pressures and construct specific examples of anisotropic sudden singularities in these universes.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2212252b0536146f679864c2c9454b0e6f184745

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

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Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities and extremality events (2005, result): “Sudden singularities of this type are sufficiently “gentle” that at least for some of them even the DEC can be satisfied all the way to the singularity — a conclusion completely in agreement with Barrow and Tsagas [13], though now we have a complete characterization of those situations for which the”