Hunting Local Mixmaster Dynamics in Spatially Inhomogeneous Cosmologies

Details Hunting Local Mixmaster Dynamics in Spatially Inhomogeneous Cosmologies Hunting Local Mixmaster Dynamics in Spatially Inhomogeneous Cosmologies

2003-12-20

arxiv.org/abs/gr-qc/0312095v1

Class.Quant.Grav. 21 (2004) S81-S96

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, 5 figures. Contribution to CQG Special Issue "A Spacetime Safari: Essays in Honour of Vincent Moncrief"

Scientific paper

10.1088/0264-9381/21/3/006

Heuristic arguments and numerical simulations support the Belinskii et al (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 $T^2$-symmetric spacetime are presented.

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