Curvature of Multiply Warped Products

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 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.

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

References in corpus (4)

• Composite electric S-brane solutions with maximal number of branes
• Singular compactifications and cosmology
• Brane-world Cosmologies with non-local bulk effects
• Curvature in Special Base Conformal Warped Products

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• The Einstein-Lambda flow on product manifolds
• A Kastler-Kalau-Walze Type Theorem for 5-dimensional Manifolds with Boundary
• Deformed and twisted black holes with NUTs
• Noncommutative Residue and sub-Dirac Operators for Foliations
• Multiply twisted products
• About curvature, conformal metrics and warped products
• Curvature in Special Base Conformal Warped Products
• A Fundamental Theorem for submanifolds of multiproducts of real space forms
• Characterizing the $2$-Killing vector fields on multiply twisted product spacetimes
• A Geometric Construction of Solutions to 11D Supergravity
• On Einstein equations with cosmological constant in braneworld models
• Killing Vector Fields on Multiply Warped Products with a Semi-symmetric Metric Connection
• Biharmonic maps between doubly warped product manifolds
• Heat kernel estimates and the essential spectrum on weighted manifolds
• Null Sectional Curvatures of Warped Products
• Affine connections on singular warped products
• Curvature of multiply warped products with an affine connection
• Implications of Energy Conditions on Standard Static Space-times
• Multiply Warped Products with a Quarter-symmetric Connection
• On the mixed scalar curvature of almost multi-product manifolds
• Geometry of $CRS$ bi-warped product submanifolds in Sasakian and cosymplectic manifolds
• Affine connections of non integrable distributions