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Citation - WoS: 77
Citation - Scopus: 85
Curvature of multiply warped products
(Elsevier, 2005) Dobarro, F; Ünal, B
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 space-times 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. (c) 2004 Elsevier B.V. All rights reserved.
Citation - WoS: 21
Citation - Scopus: 21
Special Standard Static Space-Times
(Pergamon-elsevier Science Ltd, 2004) Dobarro, F; Ünal, B
Essentially, some conditions for the Riemannian factor and the warping function of a standard static space-time are obtained in order to guarantee that no nontrivial warping function on the Riemannian factor can make the standard static space-time Einstein. (C) 2004 Elsevier Ltd. All rights reserved.