Trans-Planckian effect in f(R) cosmology

被引：2

作者：

Cheraghchi, S. ^{[1
,2
]}

Shojai, F. ^{[2
]}

Abbassi, M. H. ^{[3
]}

机构：

[1] Transilvania Univ, Fac Math & Comp Sci, Iuliu Maniu Str 50, Brasov 500091, Romania

[2] Univ Tehran, Dept Phys, POB 14395-547, Tehran, Iran

[3] Tarbiat Modares Univ, Sch Sci, Dept Phys, POB 14155-4838, Tehran, Iran

来源：

PHYSICA SCRIPTA | 2023年 / 98卷 / 08期

关键词：

Inflation; quantum fluctuations; vacuum state; FLUCTUATIONS; GRAVITY; MODELS;

D O I：

10.1088/1402-4896/ace706

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Apart from the assumption that the inflation started at an infinite time in the past, the more realistic initial state of the quantum fluctuations is described by a mixed quantum state imposed at a finite value of the initial time. One of the most important non-trivial vacua is the & alpha;-vacuum, which is specified by a momentum cutoff ? U H Danielsson (2002 Phys. Rev. D 66, 023511). As a consequence, the initial condition is imposed at different initial times for the different k-modes. This modifies the amplitude of the quantum fluctuations, and thus the corresponding power spectra. In this paper, we consider the imprint of the & alpha;-vacuum state on the power spectrum of scalar perturbations in a generic f(R) gravity by assuming an ultraviolet cutoff ?. As a specific model, we consider the Starobinsky model and find the trans-Planckian power spectrum. We find that the leading order corrections to the scalar power spectra in f(R) gravity have an oscillatory behavior as in general relativity C Armendariz-Picon, Eugene A Lim, (2003 JCAP 12 006), and furthermore, the results are in sufficient agreement with the ?CDM model.

引用

页数：14

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