Peeling of Dirac and Maxwell fields on a Schwarzschild background

JOURNAL OF GEOMETRY AND PHYSICS

卷:62

Article

Mason, Lionel J.²  Nicolas, Jean-Philippe¹ 

[1] Univ Brest, Math Lab, F-29200 Brest, France

[2] Math Inst, Oxford OX1 3LB, England

关键词: General relativity;    Dirac equation;    Maxwell's equations;    Schwarzschild metric;    Conformal methods;    Vector field methods;   

DOI  :  10.1016/j.geomphys.2012.01.005

来源: Elsevier

【 摘 要 】

We study the peeling of Dirac and Maxwell fields on a Schwarzschild background following the approach developed by the authors in Mason and Nicolas (2009) [12] 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 Schwarzschild produce the same regularity across null infinity. The results are valid also for the classes of asymptotically simple spacetimes constructed by Corvino-Schoen/Chrukiel-Delay. Crown Copyright (C) 2012 Published by Elsevier B.V. All rights reserved.

【 授权许可】

Free