Existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the De Sitter-Kerr-Newman metric

Abstract

We show the existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the De Sitter-Kerr-Newman metric for small charge and mass of the field and small angular momentum of the black hole. The mechanism behind is that the zero resonance that exists for zero charge, mass and angular momentum moves into the upper half plane.

References in corpus (2)

• Strong cosmic censorship in charged black-hole spacetimes: still subtle
• Decay of the Local Energy for the Charged Klein-Gordon Equation in the Exterior De Sitter-Reissner-Nordström Spacetime

Cited by in corpus (5)

• Decay of the Local Energy for the Charged Klein-Gordon Equation in the Exterior De Sitter-Reissner-Nordström Spacetime
• Kasner bounces and fluctuating collapse inside hairy black holes with charged matter
• Exponentially-growing Mode Instability on Reissner-Nordström--Anti-de-Sitter black holes
• Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes
• Conformal Scattering of Maxwell Potentials