REGULARIZATION OF THE TEUKOLSKY EQUATION FOR ROTATING BLACK-HOLES

We show that the radial Teukolsky equation (in the frequency domain) w ith sources that extend to infinity has well-behaved solutions. To pro ve that, we follow the Poisson approach to regularize the nonrotating hole and extend it to the rotating case. To do so we use the Chandrase khar transformation among the Teukolsky and Regge-Wheeler-like equatio ns and express the integrals over the source in terms of solutions to the homogeneous Regge-Wheeler-like equation to finally regularize the resulting integral. We then discuss the applicability of these results . [S0556-2821(97)08022-3].