Kaluza-Klein reduction of conformally flat spaces

Abstract

Kaluza-Klein reduction of conformally flat spaces is considered for arbitrary dimensions. The corresponding equations are particularly elegant for the reduction from four to three dimensions. Assuming circular symmetry leads to explicit solutions which also arise from specific two-dimensional dilaton gravity actions.

19 pages, invited contribution to IJMPD, v2: corrected sign in Eq. (48), final version

References in corpus (1)

• Duality in 2-dimensional dilaton gravity

Cited by in corpus (7)

• Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
• Einstein-Weyl from Kaluza-Klein
• Universal Features of Dimensional Reduction Schemes from General Covariance Breaking
• Duality in 2-dimensional dilaton gravity
• Dimensional Reduction of Conformal Tensors and Einstein-Weyl Spaces
• Centrifugal deformations of the gravitational kink
• Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks