Examples of Exact Exponential Cosmological Solutions with Three Isotropic Subspaces in Einstein–Gauss–Bonnet Gravity

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2022-11-25 DOI:10.1134/S0202289322040090

K. K. Ernazarov

引用次数: 0

Abstract

We consider \((1+8)\)- and \((1+10)\)-dimensional Einstein–Gauss–Bonnet models with a cosmological constant. Some new examples of exact solutions are obtained, governed by three non-coinciding constant Hubble-like parameters \(H\neq 0\), \(h_{1}\) and \(h_{2}\), obeying the condition \(mH+k_{1}h_{1}+k_{2}h_{2}\neq 0\), corresponding to factor spaces of dimensions \(m\geqslant 3\), \(k_{1}>1\), and \(k_{2}\geqslant 1\). In this case, the multidimensional cosmological model deals with four factor spaces: the external 3D (“our”) world and internal subspaces with dimensions \(m-3\), \(k_{1}\), and \(k_{2}\).

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Einstein-Gauss-Bonnet引力中具有三个各向同性子空间的精确指数宇宙学解的例子

我们考虑具有宇宙常数的\((1+8)\)维和\((1+10)\)维爱因斯坦-高斯-邦纳模型。得到了一些新的精确解的例子，它们由三个不重合的类哈勃常数参数\(H\neq 0\)、\(h_{1}\)和\(h_{2}\)控制，符合\(mH+k_{1}h_{1}+k_{2}h_{2}\neq 0\)的条件，对应于\(m\geqslant 3\)、\(k_{1}>1\)和\(k_{2}\geqslant 1\)维的因子空间。在这种情况下，多维宇宙学模型处理四个因素空间:外部3D(“我们的”)世界和维度为\(m-3\)、\(k_{1}\)和\(k_{2}\)的内部子空间。

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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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