Superradiant Instability of Extremal Black Holes in STU Supergravity

Abstract

We investigate the superradiant (in)stability of the extremal multi-charge static black holes in the STU supergravity model, which reduce to the RN black hole when all the charges are equal. We first show that the frequency of quasi-bound states is necessarily complex and obtain the corresponding superradiant condition. We then study the effective potential of the Schrödinger-like equation associated with the radial function of the charged scalar field. We find that trapping-well configurations can emerge with either a single peak or double peaks. We numerically obtain the corresponding unstable quasi-bound states, organized under the overtone number, as well as how the charged black holes deviate from the RN black hole. We find that the STU black holes are superradiantly unstable as long as not all the charges are equal, indicating that the superradiant stability of the extremal RN black hole is a fine-tuning result in the framework of the STU supergravity model.

Latex, 34 pages, 9 figures

References in corpus (4)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole

Cited by in corpus (5)

• Superradiance of massive scalar particles around rotating regular black holes
• Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1{)}^2$-charged STU supergravity models
• Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb
• Extremal Charged Black Holes and Superradiantly Unstable Quasinormal Modes
• Superradiant dark matter production from primordial black holes: Impact of multiple modes and gravitational wave emission