Kaluza-Klein reduction of conformally flat spaces
arXiv:math-ph/0609025 · doi:10.1142/S021827180600956X
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