Stability Analysis of Compactification in 3rd Order Lovelock Gravity

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

Gravitation and Cosmology Pub Date : 2023-09-04 DOI:10.1134/S0202289323030064

D. Chirkov, A. Toporensky

引用次数: 0

Abstract

It is known that spatial curvature can stabilize extra dimensions in Lovelock gravity. In the present paper, we study stability of the stabilization solutions in 3rd order Lovelock gravity. We show that in the case of negative spatial curvature of extra-dimensional space, the stabilization solution is always stable. On the contrary, for positive spatial curvature, the stability depends on the coupling constant values.

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三阶Lovelock引力紧化的稳定性分析

众所周知，空间曲率可以稳定洛夫洛克引力中的额外维度。本文研究了三阶洛夫洛克引力稳定解的稳定性。我们证明了在额外维空间负空间曲率的情况下，稳定解总是稳定的。相反，对于正空间曲率，稳定性取决于耦合常数值。

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