Peeling of Dirac and Maxwell Fields on a Schwarzschild background

Lionel Mason (1) , Jean-Philippe Nicolas (2, 3)

1 MI - Mathematical Institute [Oxford]
2 LM - Laboratoire de mathématiques de Brest
3 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique

We study the peeling of Dirac and Maxwell fields on a Schwarzschild background following the approach developed by the authors in Mason-Nicolas2009 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.

Mots clés: Relativité générale; Champs de Dirac; Champs de Maxwell; Peeling; Méthodes conformes

Domaines: Physique mathématique [math-ph]

Lionel Mason, Jean-Philippe Nicolas. Peeling of Dirac and Maxwell Fields on a Schwarzschild background. 2010. ⟨hal-00560426⟩