Warped products and the Reissner-Nordström-AdS black hole

We study a multiply warped product manifold associated with the Reissner-Nordstrom-AdS metric to investigate the physical properties inside the black hole event horizons. Our results include various limiting geometries of the RN, Schwarzschild-AdS and Schwarzschild spacetimes, through the successive truncation procedure of parameters in the original curved space.