Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories

Details Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories

1993-05-02

arxiv.org/abs/gr-qc/9304047v1

J.Math.Phys. 35 (1994) 310-320

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, LATEX, UB-ECM-PF 93/10

Scientific paper

10.1063/1.530877

Invariant connections with torsion on simple group manifolds $S$ are studied and an explicit formula describing them is presented. This result is used for the dimensional reduction in a theory of multidimensional gravity with curvature squared terms on $M^{4} \times S$. We calculate the potential of scalar fields, emerging from extra components of the metric and torsion, and analyze the role of the torsion for the stability of spontaneous compactification.

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