Instability of Charged Lovelock Black Holes: Vector Perturbations and Scalar Perturbations

Understand

We examine the stability of charged Lovelock black hole solutions under vector type and scalar type perturbations.

• We find the suitable master variables for the stability analysis; the equations for these variables are the Schrodinger type equations with two components and these Schrodinger operators are symmetric.
• By these master equations, we show that charged Lovelock Black holes are stable under vector type perturbations.
• For scalar type perturbations, we show the criteria for the instability and check these numerically.