Exact expressions are obtained for the direct singular part of the Teukolsky retarded Green function in Schwarzschild spacetime, including angular factors and spin-dependent transport terms for constant-radius orbits.
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The direct Hadamard term for the Teukolsky Green function in Schwarzschild is factored into closed-form S² and exact M² components, enabling regularized ℓ-mode calculations for spin-1 and spin-2 perturbations.
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Calculation of a regularized Teukolsky Green function in Schwarzschild spacetime
Exact expressions are obtained for the direct singular part of the Teukolsky retarded Green function in Schwarzschild spacetime, including angular factors and spin-dependent transport terms for constant-radius orbits.