de Sitter空间笔记
Notes on de Sitter space
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中文总结 AI 辅助
本文综述了正宇宙学常数时空的经典与量子特性,涵盖de Sitter几何、量子场背景、膨胀宇宙波函数、黑洞与熵,并比较视界,最后给出各维度的具体模型。
中文摘要 AI 辅助
我们讨论了具有正宇宙学常数的时空的经典与量子特征。在介绍了de Sitter宇宙学的基本方面和de Sitter空间的经典几何之后,我们将de Sitter空间既视为刚性背景(量子场在其上传播),又视为自身涨落的时空。我们回顾了膨胀宇宙的波函数、de Sitter空间中的黑洞以及de Sitter熵,并将宇宙学视界与黑洞视界进行了比较。最后三节专门讨论二维、三维和四维时空中的de Sitter空间的具体模型。
英文摘要
We discuss classical and quantum features of spacetimes with a positive cosmological constant. After introducing basic aspects of de Sitter cosmology and the classical geometry of de Sitter space, we consider de Sitter space both as a rigid background, on which quantum fields propagate, and as a fluctuating spacetime in its own right. We review the wavefunction of an expanding universe, black holes in de Sitter space, and the de Sitter entropy, and compare the cosmological horizon with the black hole horizon. The final three sections are dedicated to concrete models of de Sitter space in two, three and four spacetime dimensions.
发表机构
- School of Natural Sciences, Institute for Advanced Study(普林斯顿高等研究院自然科学学院)
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