Odd-parity perturbations in the most general scalar–vector–tensor theory

Abstract In the context of most general scalar–vector–tensor theory, we study stability static spherically symmetric black holes under linear odd-parity perturbations. We calculate action to second order in perturbations derive a master equation for these For this class models, obtain conditions no-ghost and Laplacian instability. Then, detail generalized Regge–Wheeler potential particular cases find their conditions.