The spin $\pm$1 Teukolsky equations and the Maxwell system on Schwarzschild

Understand

In this note we prove decay for the spin $\pm$1 Teukolsky Equations on the Schwarzschild spacetime.

• These equations are those satisfied by the extreme components ($\alpha$ and $\underline \alpha$) of the Maxwell field, when expressed with respect to a null frame.
• The subject has already been addressed in the literature, and the interest in the present approach lies in the connection with the recent work by Dafermos, Holzegel and Rodnianski on linearized gravity [M.
• Dafermos, G.