Blowup of the local energy of linear waves at the Reissner-Nordström-AdS Cauchy horizon

Christoph Kehle

We show that generic linear perturbations $\psi$ solving ${\square }_g\psi +\frac{\alpha }{l^2}\psi =0$ on Reissner-Nordström-AdS black holes have infinite local energy at the Cauchy horizon. Combined w…