Multiply Warped Products with Non-Smooth Metrics

Abstract

In this article we study manifolds with $C^0$-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 $C^0$-warping functions. We given the {\it{Ricci curvature}} in terms of $f_1$, $f_2$ for the multiply warped products of the form $M=(0,2m){\times }_{f_1}{R}^1{\times }_{f_2}{S}^2$.

LaTeX, 7 pages

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