Massive Scalar Perturbation of Extremal Rotating Braneworld Black hole: Superradiant Stability Analysis

Understand

We analyse the superradiant stability of braneworld extremal Kerr and Kerr-Newman black holes under massive scalar perturbation.

• These black hole solutions differ from their four dimensional counterpart by the presence of a tidal charge, which unlike electric charge, can take both positive and negative values and carries the signature of extra dimensions.
• We consider the perturbation of the brane geometry by a massive scalar field.
• From the radial equation of motion of the scalar field, we have found the effective potential felt by the field.