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Hunting local Mixmaster dynamics in spatially inhomogeneous cosmologies

Beverly K Berger

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Heuristic arguments and numerical simulations support the Belinskii, Khalatnikov and Lifshitz (BKL) claim that the approach to the singularity in generic gravitational collapse is characterized by local Mixmaster dynamics (LMD). Here, one way to identify LMD in collapsing spatially inhomogeneous cosmologies is explored. By writing the metric of one spacetime in the standard variables of another, signatures for LMD may be found. Such signatures for the dynamics of spatially homogeneous Mixmaster models in the variables of U(1)-symmetric cosmologies are reviewed. Similar constructions for U(1)-symmetric spacetimes in terms of the dynamics of generic T2-symmetric spacetime are presented.


PACS

04.20.Dw Singularities and cosmic censorship

04.20.Gz Spacetime topology, causal structure, spinor structure

98.80.Jk Mathematical and relativistic aspects of cosmology

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 3 (7 February 2004)

Received 12 December 2003

Published 9 January 2004



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