Starobinsky-Bel-Robinson重力中各向同性和各向异性指数膨胀的稳定性研究

IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Tuan Q. Do, Duy H. Nguyen, Tuyen M. Pham
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引用次数: 2

摘要

在本文中,我们想要检验一个新的Starobinsky-Bel-Robinson (SBR)重力模型是否允许具有或不具有空间各向异性的稳定指数暴胀解。因此,我们能够为这个SBR模型推导出一个精确的德西特暴胀。此外,我们观察到在SBR模型中不存在精确的Bianchi I型暴胀解。然而,我们发现一个修正的SBR模型,其中[公式:见文]项的系数符号由正翻转为负,可以承认相应的Bianchi I型暴胀解。不幸的是,使用动力系统方法的稳定性分析表明,这两个暴胀解都是不稳定的。有趣的是,我们证明了在修正的SBR引力中可以得到稳定的de Sitter暴胀解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
In this paper, we would like to examine whether a novel Starobinsky–Bel–Robinson (SBR) gravity model admits stable exponential inflationary solutions with or without spatial anisotropies. As a result, we are able to derive an exact de Sitter inflationary to this SBR model. Furthermore, we observe that an exact Bianchi type I inflationary solution does not exist in the SBR model. However, we find that a modified SBR model, in which the sign of coefficient of [Formula: see text] term is flipped from positive to negative, can admit the corresponding Bianchi type I inflationary solution. Unfortunately, stability analysis using the dynamical system approach indicates that both of these inflationary solutions turn out to be unstable. Interestingly, we show that a stable de Sitter inflationary solution can be obtained in the modified SBR gravity.
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来源期刊
International Journal of Modern Physics D
International Journal of Modern Physics D 地学天文-天文与天体物理
CiteScore
3.80
自引率
9.10%
发文量
181
审稿时长
4-8 weeks
期刊介绍: Gravitation, astrophysics and cosmology are exciting and rapidly advancing fields of research. This journal aims to accommodate and promote this expansion of information and ideas and it features research papers and reviews on theoretical, observational and experimental findings in these fields. Among the topics covered are general relativity, quantum gravity, gravitational experiments, quantum cosmology, observational cosmology, particle cosmology, large scale structure, high energy astrophysics, compact objects, cosmic particles and radiation.
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