Spatially Homogeneous Dynamics: A Unified Picture

Simple item page
dc.creatorJantzen, Robert T.
dc.date2001-02-08
dc.date2001-02-12
dc.date.accessioned2026-07-07T03:25:40Z
dc.date.available2026-07-07T03:25:40Z
dc.descriptionThe Einstein equations for a perfect fluid spatially homogeneous spacetime are studied in a unified manner by retaining the generality of certain parameters whose discrete values correspond to the various Bianchi types of spatial homogeneity. A parameter-dependent decomposition of the metric variables adapted to the symmetry breaking effects of the nonabelian Bianchi types on the "free dynamics" leads to a reduction of the equations of motion for those variables to a 2-dimensional time-dependent Hamiltonian system containing various time-dependent potentials which are explicitly described and diagrammed. These potentials are extremely useful in deducing the gross features of the evolution of the metric variables.
dc.description84 pages in latex(2e) article style with 10 encapsulated postscript figures, uses graphics package; reformatted with corrections from out-of-print book Proc. Int. Sch. Phys. "E. Fermi" Course LXXXVI (1982) on "Gamov Cosmology" (R. Ruffini, F. Melchiorri, Eds.), North Holland, Amsterdam, 1987, 61-147; resurrected from behind the "literature horizon"
dc.identifierhttps://arxiv.org/abs/gr-qc/0102035
dc.identifierhttp://arxiv.org/abs/gr-qc/0102035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33801
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSpatially Homogeneous Dynamics: A Unified Picture
dc.typetext

Files

Collections

arXiv