Massless field perturbations of the spinning C metric

A single master equation is given describing spin s≤2 test fields that are gauge- and tetrad-invariant perturbations of the spinning C metric space-time representing a source with mass M, uniformly rotating with angular momentum per unit mass a, and uniformly accelerated with acceleration A. This equation can be separated into its radial and angular parts. The behavior of the radial functions near the black hole (outer) horizon is studied to examine the influence of A on the phenomenon of super-radiance, while the angular equation leads to modified spin-weighted spheroidal harmonic solutions generalizing those of the Kerr space-time. Finally the coupling between the spin of the perturbing field and the acceleration parameter A is discussed.