New Isotropic and Anisotropic Sudden Singularities

Details New Isotropic and Anisotropic Sudden Singularities New Isotropic and Anisotropic Sudden Singularities

2004-11-09

arxiv.org/abs/gr-qc/0411045v3

Class.Quant.Grav. 22 (2005) 1563-1571

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typos corrected. Published version

Scientific paper

10.1088/0264-9381/22/9/006

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 characterised 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 $VII_{0}$ universe with anisotropic pressures and construct specific examples of anisotropic sudden singularities in these universes.

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