Birkhoff Integrability of Truncated Hořava–Lifshitz Mixmaster Model near the Cosmological Singularity

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Gravitation and Cosmology Pub Date : 2024-05-21 DOI:10.1134/S0202289324700087

A. E. Pavlov, S. M. Gaidar

引用次数: 0

Abstract

The Hořava–Lifshitz mixmaster cosmological model near the cosmological singularity is presented as a generalized Euclidean Toda chain. Restricting to dominant vectors of the spectrum, we get a truncated model that qualitatively well describes the mixmaster model. The truncated model is associated with an affine Kac–Moody Lie algebra \(A_{2}^{+}\). According to the Adler–van Moerbeke criterion, the truncated Hamiltonian system is algebraically completely integrable.

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宇宙奇点附近截断霍热瓦-利夫希茨混合主模型的伯克霍夫积分性

在宇宙学奇点附近的霍热瓦-利夫希茨混合主宇宙学模型是作为广义欧几里得托达链提出的。通过限制频谱的主导向量，我们得到了一个截断模型，该模型定性地很好地描述了混合主模型。该截断模型与仿射 Kac-Moody 李代数（\(A_{2}^{+}\）相关联。根据 Adler-van Moerbeke 准则，截断的哈密顿系统在代数上是完全可积分的。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community

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