发表机构
Institute for Physical Science and Technology, University of Maryland（马里兰大学物理科学与技术研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究小宇宙学常数下宇宙学波形对孤立系统波形的近似，通过 Schwarzschild-de Sitter 背景上的标量波定量分析平坦极限，发现其数值表现良好，并扩展 Misner 人工宇宙学以改善振铃波形但尾部行为仍有不足。
AI 中文摘要
对于小的宇宙学常数，宇宙学波形如何近似孤立系统的波形？这个问题由观测到的宇宙学常数的小值所激发，也由 Misner 的想法所激发，即调节共形紧化引入爱因斯坦方程中的形式奇异项。我们使用 Schwarzschild--de Sitter 背景上的标量波定量研究这个问题。合适的平坦极限要求叶状结构在未来共形边界处保持正则。我们比较了从黑洞视界延伸到宇宙学视界的桥叶状结构与正则渐近平坦极限。在几何匹配数据上对宇宙学和渐近平坦波形的比较表明，平坦极限在数值上表现良好，并恢复了渐近平坦波形的基本特征。我们通过引入一个不改变近区几何的宇宙学源来扩展 Misner 的人工宇宙学，并表明它改善了振铃波形的吻合度，但未能准确捕捉中间多项式尾部行为。
英文摘要
How do cosmological waveforms approximate waveforms from isolated systems for a small cosmological constant? This question is motivated by the observed small value of the cosmological constant, and also by Misner's idea to regulate the formally singular terms introduced into the Einstein equations by conformal compactification. We investigate this question quantitatively using scalar waves on Schwarzschild--de Sitter backgrounds. A suitable flat limit requires the foliation to remain regular at the future conformal boundary. We compare bridge foliations extending from the black hole horizon to the cosmological horizon with a regular asymptotically flat limit. Comparisons of cosmological and asymptotically flat waveforms on geometrically matched data show that the flat limit is numerically well behaved and recovers the essential features of the asymptotically flat waveform. We extend Misner's artificial cosmology by introducing a cosmological source that leaves the near-zone geometry unchanged and show that it improves agreement of the ringdown waveform but fails to capture the intermediate polynomial tail behavior accurately.
