Peeling of Dirac and Maxwell fields on a Schwarzschild background

Abstract

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.

30 pages

References in corpus (2)

• Existence of non-trivial, vacuum, asymptotically simple space-times
• The Maxwell field on the Schwarzschild spacetime: behaviour near spatial infinity

Cited by in corpus (11)

• Pointwise decay for the Maxwell field on black hole space-times
• Mode stability on the real axis
• Sharp decay estimates for massless Dirac fields on a Schwarzschild background
• Hertz potentials and asymptotic properties of massless fields
• Peeling on Kerr spacetime~:linear and non linear scalar fields
• Peeling of Dirac fields on Kerr spacetimes
• Hörmander's method for the characteristic Cauchy problem and conformal scattering for a non linear wave equation
• Conformal scattering theory for the Dirac field on Kerr spacetime
• Peeling for tensorial wave equations on Schwarzschild spacetime
• Cauchy and Goursat problems for the generalized spin zero rest-mass fields on Minkowski spacetime
• The Null-Timelike Boundary Problems of Linear Wave Equations in Asymptotically Anti-de Sitter Space