Conformally flat Kaluza-Klein spaces, pseudo-/para-complex space forms and generalized gravitational kinks
arXiv:0901.2648 · doi:10.1016/j.geomphys.2009.06.013
Abstract
The equations describing the Kaluza-Klein reduction of conformally flat spaces are investigated in arbitrary dimensions. Special classes of solution related to pseudo-Kahler and para-Kahler structures are constructed and classified according to spacetime dimension, signature and gauge field rank. Remarkably, rank two solutions include gravitational kinks together with their centripetal and centrifugal deformations.
20 pages, 1 figure
References in corpus (5)
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- The Classical Solutions of the Dimensionally Reduced Gravitational Chern-Simons Theory
- Universal Features of Dimensional Reduction Schemes from General Covariance Breaking
- Kaluza-Klein reduction of conformally flat spaces
- Centrifugal deformations of the gravitational kink