Massless field perturbations of the spinning C metric

Understand

A single master equation is given describing spin $s\le2$ test fields that are gauge- and tetrad-invariant perturbations of the {\it spinning C metric} spacetime 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 horizons is studied and used to examine the influence of $A$ on the phenomenon of superradiance, while the angular equation leads to modified spin-weighted spheroidal harmonic solutions generalizing those of the Kerr spacetime.
• Finally the coupling between the spin of the perturbing field and the acceleration parameter $A$ is discussed.