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 $M=(0,\ 2m)\times_{ f_1}R^1\times_{ f_2} S^2$.

Categories: math-ph math.GM math.MP

Multiply Warped Products with Non-Smooth Metrics