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arXiv 2210.01142gr-qcastro-ph.COhep-phhep-th
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热力学解构各向同性、各向同性与平坦性之谜(以及宇宙常数的线索)

Thermodynamic solution of the homogeneity, isotropy and flatness puzzles (and a clue to the cosmological constant)

Perimeter Institute for Theoretical Physics(Perimeter理论物理研究所);Higgs Centre for Theoretical Physics, University of Edinburgh(爱丁堡大学希格斯理论物理中心)

Latham Boyle, Neil Turok

AI总结:

本文通过热力学方法解析了宇宙各向同性、平坦性和宇宙学常数问题,并揭示了引力熵对宇宙结构的偏好。

摘要:

我们获得了弗里德曼方程的解析解,适用于包含辐射、非相对论物质、宇宙学常数λ和任意空间曲率κ的完全现实宇宙学。尺度因子a(τ)的一般解是一个椭函数,在复τ平面中是多值函数,具有一个周期沿实τ轴,另一个周期沿虚τ轴。虚时间的周期性使我们能够计算此类时空的热力学温度和熵,就像Gibbons和Hawking对黑洞和de Sitter宇宙所做的那样。引力熵倾向于青睐类似于我们宇宙的宇宙,即空间平坦、各向同性、各向同性,且具有小正的宇宙学常数。

英文摘要:

We obtain the analytic solution of the Friedmann equation for fully realistic cosmologies including radiation, non-relativistic matter, a cosmological constant $λ$ and arbitrary spatial curvature $κ$. The general solution for the scale factor $a(τ)$, with $τ$ the conformal time, is an elliptic function, meromorphic and doubly periodic in the complex $τ$-plane, with one period along the real $τ$-axis, and the other along the imaginary $τ$-axis. The periodicity in imaginary time allows us to compute the thermodynamic temperature and entropy of such spacetimes, just as Gibbons and Hawking did for black holes and the de Sitter universe. The gravitational entropy favors universes like our own which are spatially flat, homogeneous, and isotropic, with a small positive cosmological constant.

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。

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