用简谐宇宙探索永恒的稳定性
Exploring eternal stability with the simple harmonic universe
摘要：
我们构建非奇异循环宇宙学，尊重零能量条件，有一个大的层次之间的最小和最大尺寸的宇宙，是稳定的线性波动。这些模型由正曲率、负宇宙学常数、宇宙弦和物质的组合支持，在均匀水平上，物质表现为状态方程为-1 < w < -1/3的理想流体。我们调查分析的扰动方程的稳定性，并讨论了参数共振和非线性校正的作用。最后，我们认为，卡西米尔能源的贡献与紧凑的空间切片可以成为重要的在短尺度和升降机非微扰衰减走向消失的大小。这类模型（特别是在静态极限下）可以为研究永恒宇宙的终极（Meta）稳定性问题提供一个有用的框架。
英文摘要：
We construct nonsingular cyclic cosmologies that respect the null energy condition, have a large hierarchy between the minimum and maximum size of the universe, and are stable under linearized fluctuations. The models are supported by a combination of positive curvature, a negative cosmological constant, cosmic strings and matter that at the homogeneous level behaves as a perfect fluid with equation of state -1 < w < -1/3. We investigate analytically the stability of the perturbation equations and discuss the role of parametric resonances and nonlinear corrections. Finally, we argue that Casimir energy contributions associated to the compact spatial slices can become important at short scales and lift nonperturbative decays towards vanishing size. This class of models (particularly in the static limit) can then provide a useful framework for studying the question of the ultimate (meta)stability of an eternal universe.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
