CONFORMAL SCATTERING OF MAXWELL FIELDS ON REISSNER-NORDSTROM-DE SITTER BLACK HOLE SPACETIMES

被引：8
|
作者：
Mokdad, Mokdad [1 ]
机构：
[1] LMBA Univ Bretagne Occidentale, UMR 6205, CS 93837, F-29238 Brest 3, France
来源：
ANNALES DE L INSTITUT FOURIER | 2019年 / 69卷 / 05期
关键词：
Conformal scattering; Black holes; Maxwell's equations; Reissner-Nordstrom-de Sitter metric; Goursat problem; VACUUM;
D O I：
10.5802/aif.3295
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a complete conformal scattering theory for Maxwell fields in the static exterior region of a Reissner-Nordstrom-de Sitter black hole spacetime. We use uniform energy decay results, which we obtain in a separate paper, to show that the trace operators are injective and have closed ranges. We then solve the Goursat problem (characteristic Cauchy problem) for Maxwell fields on the null boundaries showing that the trace operators are also surjective.
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页码：2291 / 2329
页数：39
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