Warped products and black holes

Abstract

We apply the warped product space-time scheme to the BanadosTeitelboim- Zanelli black holes and the Reissner-Nordström-anti-de Sitter black hole to investigate their interior solutions in terms of warped products. It is shown that there exist no discontinuities of the Ricci and Einstein curvatures across event horizons of these black holes. © Società Italians di Fisica.