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
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.
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
31
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 Peoples’ 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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