Regularization of the Teukolsky Equation for Rotating Black Holes

Details Regularization of the Teukolsky Equation for Rotating Black Holes Regularization of the Teukolsky Equation for Rotating Black Holes

1997-07-08

arxiv.org/abs/gr-qc/9707017v1

Phys.Rev. D56 (1997) 6363-6369

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 1 Table, REVTEX

Scientific paper

10.1103/PhysRevD.56.6363

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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