Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: An analytical study

Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb

“…where D ν = ∇ ν − ieA ν is the covariant derivative. The above equation of motion can be separated into radial part and angular part [46,47]. The solution of the above equation with definite angular frequency can be decomposed as Ψ = lm R lm (r)Y lm (θ i , φ)e −iωt .…”

“…Recently, we have developed an analytical method in the study of superradiant stability of higher dimensional extremal and non-extremal RN black holes [46][47][48]. It is found that five-and six-dimensional extremal RN black holes are superradiantly stable under charged massive scalar perturbation [47].…”

“…Even for the D-dimensional extremal RN black hole, it is found that there is no black hole bomb for the black hole and scalar perturbation system [48]. It was also proved that there is also no black hole bomb for five-dimensional non-extremal RN black hole under charged massive scalar perturbation and the system is superradiantly stable [46].…”

Revisiting superradiant stability of Kerr-Newman black holes under a charged massive scalar

“…Also, a similar potential was employed subsequently in deriving the conditions for superradiant stability of Kerr black holes [6]. Very recently, a similar approach was applied to testing the extremal rotating black holes under a charged massive scalar perturbation [7], dyonic Reissner-Nordström black holes under a charged massive scalar perturbation [8], higherdimensional non-extremal Reissner-Nordström black holes under a massive scalar perturbation [9], and D-dimensional extremal Reissner-Nordström black holes under a charged massive scalar perturbation [10]. It may not be valid to adopt such potentials to analyzing the superradiant (in)stability of a massive scalar propagating around rotating black holes.…”

Revisiting superradiant stability of Kerr–Newman black holes under a charged massive scalar

“…Also, a similar potential was employed subsequently in deriving the conditions for superradiant stability of Kerr black holes [6]. Very recently, a similar approach was applied to testing the extremal rotating black holes under a charged massive scalar perturbation [7], dyonic Reissner-Nordström (RN) black holes under a charged massive scalar perturbation [8], higher-dimensional non-extremal RN black holes under a massive scalar perturbation [9], and D-dimensional extremal RN black holes under a charged massive scalar perturbation [10]. It may not be valid to adopt such potentials to analyzing the superradiant (in)stability of a massive scalar propagating around rotating black holes.…”