Cauchy horizon singularity without mass inflation

A perturbed Reissner-Nordstr"om-de Sitter solution is used to emphasize the nature of the singularity along the Cauchy horizon of a charged spherically symmetric black hole. For these solutions, conditions may prevail under which the mass function is bounded and yet the curvature scalar $R_{\alpha \beta \gamma \delta }{R}^{\alpha \beta \gamma \delta }$ diverges.