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Regularization of the Teukolsky Equation for Rotating Black Holes

Manuela Campanelli·Carlos O. Lousto
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Abstract

We show that the radial Teukolsky equation (in the frequency domain) with sources that extend to infinity has well-behaved solutions. To prove that, we follow Poisson approach to regularize the non-rotating hole, and extend it to the rotating case. To do so we use the Chandrasekhar transformation among the Teukolsky and Regge-Wheeler-like equations, 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.

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Manuela Campanelli, Carlos O. Lousto. 1997-07-08. Regularization of the Teukolsky Equation for Rotating Black Holes. https://doi.org/10.1103/physrevd.56.6363

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