Superradiant Amplification of a Scalar Wave Coupled Kinematically to Curvature Scattered off a Reissner-Nordström Black Hole

Abstract: We study the dynamics of a massive charged scalar wave which except its canonical coupling to gravity it is also coupled kinematically to Einstein tensor. We find that as the strength of the new coupling is increased the scattered wave off the horizon of a Reissner-Nordstr\"om black hole is superradiantly amplified resulting to the instability of the Reissner-Nordstr\"om spacetime.