Bianchi cosmologies: The role of spatial topology

Abhay Ashtekar, Joseph Samuel

Research output: Contribution to journalArticlepeer-review

89 Scopus citations


The role of spatial topology in the Hamiltonian description of Bianchi models is analysed. It turns out that, in general, the number of degrees of freedom of these models is not uniquely determined by the isometry group but depends in addition on the choice of topology. Consequently, the quantum theory is quite sensitive to this choice. Contrary to one's initial expectation, subtleties arise in the spatially open models-say with topology R3-rather than closed. Finally, it is shown that class B models cannot occur with closed topologies.

Original languageEnglish (US)
Article number005
Pages (from-to)2191-2215
Number of pages25
JournalClassical and Quantum Gravity
Issue number12
StatePublished - Dec 1 1991

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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