Slow-roll inflation in f(R,T,RabTab) gravity

IF 1.5 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Zhe Feng
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引用次数: 0

Abstract

In the framework of f(R,T,RabTab) gravity theory, the slow-roll approximation of the cosmic inflation is investigated, where T is the trace of the energy–momentum tensor Tab, R and Rab are the Ricci scalar and tensor, respectively. After obtaining the equations of motion of the gravitational field from the action principle in the spatially flat FLRW metric, the fundamental equations of this theory are received by introducing the inflation scalar field as the matter and taking into account only the minimum curvature-inflation coupling term. Remarkably, after taking the slow-roll approximation, the identical equations as in f(R,T) gravity with a RT mixing term are derived. We study several potentials of interest in different domains. We perform analytical analyzes under various approximate conditions, and present numerical results and their comparison with existing observational data at the same time. In the appendix, we analyze the behavior of the inflation scalar field under perturbation while ignoring the effect of metric perturbations. This research complements the slow-roll inflation in the modified theory of gravity.

f(R,T,RabTab)引力下的慢速滚动膨胀
在f(R,T,RabTab)引力理论框架下,研究了宇宙膨胀的慢滚近似,其中T为能动张量Tab的迹,R和Rab分别为利玛窦标量和张量。在空间平坦的 FLRW 度量中从作用原理得到引力场的运动方程后,通过引入膨胀标量场作为物质并只考虑最小曲率-膨胀耦合项,得到了该理论的基本方程。值得注意的是,在采用慢速滚动近似之后,我们得到了与带有 RT 混合项的 f(R,T) 引力相同的方程。我们研究了不同领域中的几个相关势。我们在各种近似条件下进行了分析,同时给出了数值结果及其与现有观测数据的比较。在附录中,我们分析了膨胀标量场在扰动下的行为,同时忽略了度量扰动的影响。这项研究是对修正引力理论中慢滚膨胀的补充。
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来源期刊
Modern Physics Letters A
Modern Physics Letters A 物理-物理:核物理
CiteScore
3.10
自引率
7.10%
发文量
186
审稿时长
3 months
期刊介绍: This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.
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