  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.
