Curvature of multiply warped products
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Date
2005
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Open Access Color
BRONZE
Green Open Access
Yes
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No
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Top 10%
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Abstract
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.
Description
Keywords
warped products, Ricci tensor, scalar curvature, Einstein manifolds, Mathematics - Differential Geometry, High Energy Physics - Theory, 53C25, 53C50, FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, black hole solutions, General Relativity and Quantum Cosmology (gr-qc), Mathematical Physics (math-ph), Ricci tensor, General Relativity and Quantum Cosmology, Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), High Energy Physics - Theory (hep-th), Kasner space time, FOS: Mathematics, scalar curvature, Einsteins field equation, warped products, Mathematical Physics
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Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
67
Source
Journal of Geometry and Physics
Volume
55
Issue
1
Start Page
75
End Page
106
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Citations
CrossRef : 25
Scopus : 85
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Mendeley Readers : 11
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1.05575835
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