Analysis and research on superradiant stability of Kerr-sen Black Hole

TL;DR

This paper investigates the superradiant stability of Kerr-Sen black holes, revealing conditions under which they remain stable against perturbations, and generalizes previous findings by introducing an additional variable.

Contribution

The study introduces a new variable to analyze superradiant stability, extending prior work on Kerr-Sen black holes and identifying specific frequency ranges for stability.

Findings

Superradiant stability occurs within a specific frequency range.

Stability behavior is similar to that of Kerr-Newman black holes.

Generalization of previous models with an added variable.

Abstract

Kerr Sen black holes possess stretchon parameters and hidden conformal symmetries. The superradiant stability and steady state resonance of such black holes warrant further investigation and form the primary motivation for this study. In this work,we introduce an additional variable, referred to as y, to generalize the findings of the previous study. When the frequency of the perturbation lies within a specific range namely, above a certain threshold determined by the spin parameter and below the sum of the azimuthal quantum number times the angular velocity at the horizon and the product of the charge with the electric potential at the horizon,the Kerr Sen black hole exhibits superradiant stability. This behavior is similar to the superradiant characteristics previously observed in KN black holes.