We analyze some geometric aspects of Kaluza–Klein theories under the assumption that the (4+d)‐dimensional space is a bundle over space–time M with fiber G/H. We formulate the most general metric in the bundle which leads, upon dimensional reduction of the Ricci scalar, to a G‐gauge invariant Lagrangian. We find that the treatment of Brans–Dicke‐like scalars given by some authors is inconsistent with the bundle‐theoretic interpretation.

Kaluza-Klein theories on bundles with homogeneous fibers. I / Percacci, Roberto; Randjbardaemi, S.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 24:4(1983), pp. 807-814. [10.1063/1.525753]

Kaluza-Klein theories on bundles with homogeneous fibers. I

Percacci, Roberto;
1983-01-01

Abstract

We analyze some geometric aspects of Kaluza–Klein theories under the assumption that the (4+d)‐dimensional space is a bundle over space–time M with fiber G/H. We formulate the most general metric in the bundle which leads, upon dimensional reduction of the Ricci scalar, to a G‐gauge invariant Lagrangian. We find that the treatment of Brans–Dicke‐like scalars given by some authors is inconsistent with the bundle‐theoretic interpretation.
1983
24
4
807
814
Percacci, Roberto; Randjbardaemi, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16391
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