The kinematical role of automorphisms in the orthonormal frame approach to Bianchi cosmology

Details The kinematical role of automorphisms in the orthonormal frame approach to Bianchi cosmology The kinematical role of automorphisms in the orthonormal frame approach to Bianchi cosmology

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jmp....40..353j&link_type=abstract

Journal of Mathematical Physics, Volume 40, Issue 1, pp. 353-368 (1999).

Mathematics

Differential Geometry

5

Spacetime Topology, Causal Structure, Spinor Structure, Relativity And Gravitation, Group Theory, Geometry, Differential Geometry, And Topology

Scientific paper

The automorphism group and frame commutator relations in the orthonormal frame approach to Bianchi cosmology are used to construct an explicit coordinate representation of the orthonormal frame itself (and hence of the spacetime metric) which depends algebraically on the connection coefficients. This is not possible in general inhomogeneous models where differential equations must instead be solved. The shift vector field required for this procedure is intimately related to the true Smarr-York minimal strain and minimal distortion shifts.

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