Kinematic and Weyl singularities

Lim, Woei C. and Pelavas, Nicos (2006) Kinematic and Weyl singularities. [Preprint]

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    We study the properties of a future singularity encountered by a perfect fluid observer in tilting spatially homogeneous Bianchi cosmologies. We derive the boost formulae for the Weyl tensor to establish that, for two observers that are asymptotically null with respect to each other, their respective Weyl parameters generally both tend to zero, constant, or infinity together. We examine three classes of typical examples and one exceptional class. Given the behaviour of the Weyl parameter, we can predict that the singularity encountered is a Weyl singularity or a kinematic singularity. The analysis suggests that the kinematic variables are also useful in indicating a singularity in these models.

    Item Type: Preprint
    Additional Information: pubdom TRUE
    Uncontrolled Keywords: AARMS
    Subjects: 37-xx Dynamical systems and ergodic theory
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 09 Jul 2007
    Last Modified: 27 Apr 2010 16:34

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