引力动力学的各向异性修正：通过Raychaudhuri方程对奇点和宇宙无毛定理的启示

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2025-09-18 DOI:10.1016/j.aop.2025.170230

Madhukrishna Chakraborty , Subenoy Chakraborty

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引用次数: 0

摘要

本文讨论了各向异性背景下改进的Raychaudhuri方程（RE）和类时测地线同余的收敛性。并与各向同性情况进行了比较。利用与剪切（σ）和膨胀（Θ）相对应的Raychaudhuri方程，讨论了早期宇宙中各向异性的存在及其对初始大爆炸奇点的影响。在此基础上，引入了谐振子形式，并讨论了各向异性对收敛的影响。此外，本文还利用正则表达式的解析解给出了各向异性在确定宇宙动力学中的作用，并据此对宇宙无毛猜想给出了证明。最后，通过建立基于各向异性Raychaudhuri框架的Wheeler-DeWitt方程，探讨了量子引力方面的问题，为宇宙演化的奇点避免和量子修正提供了一个概率准则。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Anisotropic modifications of Gravitational dynamics: Implications for singularity and Cosmic No-Hair theorem via Raychaudhuri equation

The paper deals with the modified Raychaudhuri equation (RE) and convergence of a congruence of time-like geodesics in anisotropic background. The analysis has been compared and contrasted with the isotropic case. Presence of anisotropy in early universe and its effect in the initial big-bang singularity has been discussed using the Raychaudhuri equation corresponding to shear (

σ

) and expansion (

Θ

). Further, the Harmonic oscillator form of the RE has been invoked and effect of anisotropy in convergence has been discussed. Additionally, the effect of anisotropy in determining cosmological dynamics has also been presented using the analytic solution of RE and a justification to Cosmic No Hair conjecture has been given in light of the present analysis. Finally, quantum gravitational aspects by formulating a Wheeler-DeWitt equation based on the anisotropic Raychaudhuri framework has been explored which offers a probabilistic criterion for singularity avoidance and quantum corrections to the cosmic evolution.

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来源期刊

Annals of Physics 物理-物理：综合

CiteScore

5.30

自引率

3.30%

发文量

211

审稿时长

47 days

期刊介绍： Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.