Variational principles and spatially-homogeneous universes, including rotation

Details Variational principles and spatially-homogeneous universes, including rotation Variational principles and spatially-homogeneous universes, including rotation

Sep 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cmaph..25..173m&link_type=abstract

Communications in Mathematical Physics, Volume 25, Issue 3, pp.173-189

Mathematics

Mathematical Physics

54

Scientific paper

The validity of imposing spatial homogeneity on the variations in the usual action principle for Einstein's equations is studied. It is proved that with this procedure the standard and ADM Lagrangians give correct Einstein equations if and only if the space belongs to Class A of Ellis and MacCallum [1], i.e., the structure constants of the simply transitive group satisfy C{/fg f }=0. The possibility of overcoming this difficulty in the Class B spaces is examined.

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