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Conformal invariance can ameliorate or eliminate the singularities residingin the black holes, and may still exist in the strong gravity regimes close tothese black holes.  In this paper, we try to probe this conformal invariance by looking into thewave absorption and scattering by the nonsingular static spherical black holes.  The partial and total absorption cross section, as well as the differentialscattering cross section, are presented for black holes with different choicesof conformal parameters.  Although the photon trajectories are unchanged from the Schwarzschild casesince the spacetimes are conformally related, the wave optics are affected bythe conformal parameters.  As a result, the absorption of waves generally increases with the conformalparameters, while the shadow of the black holes remains the same as theSchwarzschild case.  Moreover, the peaks in the oscillatory pattern of scattering shift towardssmaller observing angles as the conformal parameters grows, while the widths ofthe glory peaks do not show sensitive dependence.  The unique signature of the wave absorption and scattering by the nonsingularstatic spherical black holes in conformal gravity thus can serve to distinguishthemselves from the Schwarzschild in the low frequency regime, and from otherspherical black holes of alternative gravities in the high frequency limit andglory peaks.

Probing the conformal invariance around the nonsingular static spherical black holes with waves