2015/03/01 by Alexei Iantchenko, Iantchenko, Alexei
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1503.00281
The paper is continuation of arXiv:1407.3654 and generalizes arXiv:0706.0350 to the Dirac fields
arxiv created 2017/05/13 · arxiv updated 2017/05/16
We give an expansion of the solution of the evolution equation for the massless Dirac fields in the outer region of de Sitter-Reissner-Nordström black hole in terms of resonances. By means of this method we describe the decay of local energy for compactly supported data. The proof uses the cut-off resolvent estimates for the semi-classical Schrödinger operators from Bony and Häfner, 2008. The method extends to the Dirac operators on spherically symmetric asymptotically hyperbolic manifolds.