# Multiply warped products with nonsmooth metrics

@article{Choi2000MultiplyWP, title={Multiply warped products with nonsmooth metrics}, author={J. Choi}, journal={Journal of Mathematical Physics}, year={2000}, volume={41}, pages={8163-8169} }

In this article we study manifolds with C0-metrics and properties of Lorentzian multiply warped products. We represent the interior Schwarzschild space–time as a multiply warped product space–time with warping functions and we also investigate the curvature of a multiply warped product with C0-warping functions. We give the Ricci curvature in terms of f1, f2 for the multiply warped products of the form M=(0,2m)×f1R1×f2S2.

#### 22 Citations

Curvature of multiply warped products

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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.… Expand

Skew CR-warped products of Kaehler manifolds

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Warped product CR-submanifolds of Kaehler manifolds were introduced by Chen in [9]. In this paper, we introduce a warped product skew-CR-submanifold, which is a generalization of warped product… Expand

The Warped Product Approach to GMGHS Spacetime

- Physics
- 2014

In the framework of Lorentzian multiply warped products we study the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) spacetime and the nonsmooth geodesic motion near hypersurfaces in the interior… Expand

Warped product skew CR-submanifolds of Kenmotsu manifolds and their applications

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In this paper, we introduce the notion of warped product skew CR-submanifolds in Kenmotsu manifolds. We obtain several results on such submanifolds. A characterization for skew CR-submanifolds is… Expand

Parallel translation in warped product spaces: application to the Reissner-Nordström spacetime

- Physics
- 2005

A formal treatment of the parallel translation transformations in warped product manifolds is presented and related to those parallel translation transformations in each of the factor manifolds. A… Expand

Ricci curvature of doubly warped products: weighted graphs v.s. weighted manifolds

- Mathematics
- 2019

We set forth a definition of doubly warped products of weighted graphs that is -- up to inner products of gradients of functions -- consistent with the warped product in the Riemannian setting. We… Expand

The geodesic motion near hypersurfaces in the warped products spacetime

- Physics
- 2013

In the framework of Lorentzian multiply warped products we study the Gibbons–Maeda–Garfinkle–Horowitz–Strominger (GMGHS) spacetime near hypersurfaces in the interior of the event horizon. We also… Expand

Anisotropy universe in doubly warped product scheme

- Physics
- 2014

We study the GMGHS spacetimes to analyze the evolution of the anisotropy universe, which can be treated as a doubly warped products manifold possessing warping functions (or scale factor) having the… Expand

THE INDEX FORM ON THE MULTIPLY WARPED SPACETIME

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- 2004

In this paper we flnd index form of the multiply warped product manifolds to investigate the physical properties from space- time.

FOCAL POINT IN THE C 0 -LORENTZIAN METRIC

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- 2003

In this paper we address focal points and treat manifolds (M, g) whose Lorentzian metric tensors g have a spacelike -hypersurface [10]. We apply Jacobi fields for such manifolds, and check the local… Expand

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