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
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Top 10%
Popularity
Top 10%
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
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
70
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
SCOPUS™ Citations
85
checked on Feb 20, 2026
Web of Science™ Citations
77
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Page Views
3
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