Peeling of Dirac and Maxwell fields on a Schwarzschild background

Understand

We study the peeling of Dirac and Maxwell fields on a Schwarzschild background following the approach developed by the authors in Mason-Nicolas 2009 for the wave equation.

• The method combines a conformal compactification with vector field techniques in order to work out the optimal space of initial data for a given transverse regularity of the rescaled field across null infinity.
• The results show that analogous decay and regularity assumptions in Minkowski and in Schwarzschild produce the same regularity across null infinity.
• The results are valid also for the classes of asymptotically simple spacetimes constructed by Corvino-Schoen / Chrusciel-Delay.