Fields on accelerating and super accelerating black holes: stability, quasinormal modes, greybody factors and strong cosmic censorship

We investigate the propagation of massless scalar, Dirac, and Maxwell fields on accelerating and super accelerating black hole spacetimes described by the C-metric. The latter regime has only recently been identified and remains largely unexplored. We study the linear and mode stability of these backgrounds and derive analytical expressions for the quasinormal mode spectra and greybody factors in various spacetime limits. We classify the quasinormal mode families, paying particular attention to new families arising in the super accelerating regime. We also investigate strong cosmic censorship through Christodoulou’s $\beta$ criterion, finding regions of parameter space where it may be violated, including in the super accelerating regime. These violations are possible for massless scalar and Maxwell fields, whereas Dirac fields preserve the conjecture.