Dimensionally continued Euler forms: Kaluza-Klein cosmology and dimensional reduction
- 1 July 1986
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 3 (4) , 665-677
- https://doi.org/10.1088/0264-9381/3/4/020
Abstract
The most general gravity Lagrangian in more than four dimensions is considered which leads to field equations with at most second derivatives of the metric. It consists of a series of dimensionally continued Euler forms and allows spontaneous compactification. The field equations are elaborated for the usual Kaluza-Klein cosmology ansatz and solved in the special case where the extra dimensions form a sphere with constant radius. The dimensional reduction of the theory to four dimensions is discussed as well.Keywords
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