Curvature of Multiply Warped Products

Details Curvature of Multiply Warped Products Curvature of Multiply Warped Products

2004-06-02

arxiv.org/abs/math/0406039v3

Journal of Geometry and Physics, Volume 55, Issue 1 , September 2005, Pages 75-106

Mathematics

Differential Geometry

28 pages, corrected typos, to appear in Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2004.12.001

In this paper, we study Ricci-flat and Einstein Lorentzian multiply warped products. We also consider the case of having constant scalar curvatures for this class of warped products. Finally, after we introduce a new class of spacetimes called as generalized Kasner space-times, we apply our results to this kind of space-times as well as other relativistic space-times, i.e., Reissner-Nordstrom, Kasner space-times, Banados-Teitelboim-Zanelli and de Sitter Black hole solutions.

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