CLASSIFICATION OF G INVARIANT CONFIGURATIONS OF EINSTEIN-CARTAN THEORY ON A MULTIDIMENSIONAL UNIVERSE

Rudolph, G.

doi:10.1016/0393-0440(87)90010-6

CLASSIFICATION OF G INVARIANT CONFIGURATIONS OF EINSTEIN-CARTAN THEORY ON A MULTIDIMENSIONAL UNIVERSE

G. Rudolph
(
- Leipzig U.
)

1987

11 pages

Published in:

J.Geom.Phys. 4 (1987) 39-49

DOI:

10.1016/0393-0440(87)90010-6

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Abstract: (Elsevier)

G-invariant configurations (τ, γ) of Einstein-Cartan theory on a multidimensional universe M are shown to be in 1 - 1 -correspondence with a quintuplet (g̃t, ξ, ĝa, ø, ψ) of geometrical objects living on bundles over physical spacetime M̃ = M/G. Moreover, explicit formulae for τ are given in terms of classifying objects.

Kaluza Klein theories
Einstein Cartan theory
83 E 15
53 C 80
general relativity
FIELD THEORY: HIGHER-DIMENSIONAL
FIELD THEORY: DIMENSIONAL REDUCTION
SYMMETRY: SPACE-TIME
MATHEMATICAL METHODS: GEOMETRICAL

References(18)

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