发表机构
Pennsylvania State University（宾夕法尼亚州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究证明次极端克尔-德西特时空中无质量标量波动方程的模式稳定性，结合Petersen-Vasy的工作，无条件证实充分正则的标量波动方程解指数衰减为常数
AI 中文摘要
我们证明了在全次极端范围内克尔-德西特黑洞时空中无质量标量波动方程的模式稳定性，结合Petersen-Vasy的最新工作，这无条件证明了充分正则的标量波动方程解会指数快速衰减为常数
英文摘要
We prove mode stability for the Klein-Gordon equation on Kerr-de Sitter black hole spacetimes in the full subextremal range and for the range $m_{\rm KG}^2\in[0,Λ\sqrt{2}]$ of squared scalar field masses that includes, in particular, the minimally coupled case $m_{\rm KG}=0$ and the conformally coupled case $m_{\rm KG}^2=\frac{2}{3}Λ$ (i.e., the Teukolsky equation for spin $0$). In combination with recent work by Petersen-Vasy, this proves, unconditionally, that sufficiently regular solutions of the scalar wave equation decay exponentially fast to constants, and in fact to zero for nonzero $m_{\rm KG}$.
Comments25 pages, 1 figure. v2 includes the Klein-Gordon case
