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A study of ergodicity and chaos in the Bianchi cosmologies

University of British Columbia

The flow on the phase space of gravitational degrees of freedom for the spatially homogeneous Bianchi I cosmology is studied in detail. Problems associated with analyzing the dynamics numerically are discussed and a rigorous analysis of the phase space dynamics for Bianchi I is presented. The global topology of the phase space is shown to be nontrivial and to have an important effect on the dynamics of the system. Although this results in complicated dynamics on the phase space, which is contrary to what has previously been thought, the system is nevertheless shown to be non-ergodic. Implications for the study of the dynamics of other Bianchi models is discussed.

Thesis/Dissertation

application/pdf

2009-01-16

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http://hdl.handle.net/2429/3735

Physics

University of British Columbia

UBCV

DSpace