Cosmological perturbations in a class of fully covariant modified theories: application to models with the same background as standard LQC
Cosmological perturbations in a class of fully covariant modified theories: application to models with the same background as standard LQC
复制标题
一类完全协变修正理论中的宇宙扰动：应用于与标准 LQC 具有相同背景的模型
DOI：
10.1140/epjc/s10052-018-6193-2
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
E. Elizalde
中科院分区：
文献类型：
--
作者：
J. Haro;Llibert Aresté Saló;E. Elizalde
Bouncing cosmologies are obtained by adding to the Einstein–Hilbert action a term of the form -gf(χ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sqrt{-\,g}f(\chi )$$\end{document}, with χ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\chi $$\end{document} a scalar depending on the Hubble parameter only, not on its derivatives, and which is here shown to arise from the divergence of the unitary time-like eigenvector of the stress tensor. At background level, the dynamical equations for a given f-theory are calculated, showing that the simplest bouncing cosmology resulting leads to exactly the same equations as those for holonomy corrected Loop Quantum Cosmology (LQC). When dealing with perturbations, the equation for tensor ones is the same as in General Relativity (GR); for scalar perturbations, when one uses the f-theory which leads to the same background as the standard version of holonomy corrected LQC, one obtains similar equations (although a bit more elaborated) as those coming from LQC in the so-called deformed algebra approach.
Bouncing cosmologies are obtained by adding to the Einstein–Hilbert action a term of the form -gf(χ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sqrt{-\,g}f(\chi )$$\end{document}, with χ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\chi $$\end{document} a scalar depending on the Hubble parameter only, not on its derivatives, and which is here shown to arise from the divergence of the unitary time-like eigenvector of the stress tensor. At background level, the dynamical equations for a given f-theory are calculated, showing that the simplest bouncing cosmology resulting leads to exactly the same equations as those for holonomy corrected Loop Quantum Cosmology (LQC). When dealing with perturbations, the equation for tensor ones is the same as in General Relativity (GR); for scalar perturbations, when one uses the f-theory which leads to the same background as the standard version of holonomy corrected LQC, one obtains similar equations (although a bit more elaborated) as those coming from LQC in the so-called deformed algebra approach.
DOI：
10.1088/1475-7516/2014/06/017
发表时间：
2014-06-01
影响因子：
6.4
作者：
Chamseddine, Ali H.;Mukhanov, Viatcheslav;Vikman, Alexander
通讯作者：
Vikman, Alexander