典型文献
Stability and Instability of Schwarzschild-AdS for the Nonlinear Einstein-Klein-Gordon System
文献摘要：
In this paper,we study the global behavior of solutions to the spherically symmetric(it means that the problem is 2+2 framework)coupled Nonlinear-Einstein-Klein-Gordon(NLEKG)system in the presence of a negative cosmological constant.We prove the well posedness of the NLEKG system in the Schwarzschild-AdS spacetimes and that the Schwarzschild-AdS spacetimes(the trivial black hole solutions of the EKG system for which ?=0 identically)are asymptotically stable.Small perturbations of Schwarzschild-AdS initial data again lead to regular black holes,with the metric on the black hole exterior approaching a Schwarzschild-AdS spacetime.Bootstrap argument on the black hole exterior,with the redshift effect and weighted Hardy inequalities playing the fundamental role in the analysis.Both integrated decay and pointwise decay estimates are obtained.
文献关键词：
中图分类号：
作者姓名：
Feng-Xia LIU;Bo-Ling GUO
作者机构：
Institute of Artificial Intelligence,Beihang University,Beijing 100083,China;Institute of Applied Physics and Computational Mathematics,Beijing 100088,China
文献出处：
引用格式：
[1]Feng-Xia LIU;Bo-Ling GUO-.Stability and Instability of Schwarzschild-AdS for the Nonlinear Einstein-Klein-Gordon System)[J].应用数学学报（英文版）,2022(04):778-812
A类：
NLEKG,spacetimes
B类：
Stability,Instability,Schwarzschild,AdS,Nonlinear,Einstein,Klein,Gordon,System,this,paper,study,global,behavior,solutions,spherically,symmetric,means,that,problem,2+2,framework,coupled,system,presence,negative,cosmological,constant,We,prove,well,posedness,trivial,black,which,identically,are,asymptotically,stable,Small,perturbations,initial,data,again,lead,regular,holes,exterior,approaching,Bootstrap,argument,redshift,effect,weighted,Hardy,inequalities,playing,fundamental,role,analysis,Both,integrated,decay,pointwise,estimates,obtained
AB值：
0.523642
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