标题： de Sitter时空中的线性化引力波 显示英文标题

标题： Linearized gravitational waves in de Sitter space-time

摘要： 这是一篇关于最近引起注意的问题的简短说明\cite{CHK}，即有关 de Sitter 时空中的四极截断线性引力波的精确定义问题。 在将截断到四极贡献的线性化解变换为 Bondi-Sachs 形式时，发现了明显的不一致性。 一致的截断被确定为变换后的截断解不会在 Bondi-Sachs 渐近形式中生成不允许的对数项的那种截断。 我指出规范条件和齐次方程解的作用在于消除这种表面上的不一致性问题。 显示英文摘要

摘要： This is a brief note on a recently flagged issue \cite{CHK} regarding the precise characterization of quadrupolar truncation of the linearized gravitational waves in de Sitter space-time. An apparent inconsistency was noted while transforming the linearized solution truncated to quadrupolar contribution to the Bondi-Sachs form. A consistent truncation was identified as one where the transformation of the truncated solution does not generate logarithmic terms inadmissible in the Bondi-Sachs asymptotic form. I point out the role of the gauge conditions and the solution of the homogeneous equation in obviating the apparent inconsistency issue.