Mass Superinflation from Enhanced Cauchy Horizon Singularity in a Reissner-Nordstr\"om Black Hole

Abstract

Ever since Penrose and Simpson contradicted Novikov's prediction that an infalling passenger would emerge into an asymptotically flat universe, there have been a continued interest in predicting the nature of singularity at the Cauchy horizon of a Reissner-Nordstrom blackhole. This prediction was first confirmed by Poisson and Israel using cross-stream of massless particles, suggesting the phenomenon of mass inflation. Ori however obtained a weaker singularity using a null shell of radiation. In this work, we consider a massive scalar field coupled to the Reissner-Nordstrom geometry and analyze the nature of singularity at the Cauchy horizon. To study the asymptotic behavior of the mass function and the scalar field near the Cauchy horizon, we perturbatively solve the coupled dynamical equations emplyoing the Adomian decomposition method. Our analysis shows that the mass function exhibits a very rapid and unbounded double-exponential growth, called herein mass superinflation, which is enormously stronger than previously obtained singularities. The scalar field is also found to undergo a very strong blueshift near the Cauchy horizon.