论文标题
修改后重力中原始重力波的光谱：简短概述
Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
论文作者
论文摘要
在这项工作中，我们将详尽研究修饰的重力对原始重力波背景的能量光谱的影响。 S. Weinberg还制作了与原始引力波有关的重要作品，其中最重要的是中微子对原始引力波的影响。通过此类审查，我们的主要目的是收集所有必要的信息，以研究修饰的重力对原始重力波的影响，以混凝土和定量的方式以及一篇论文。在审查了提取一般相对论能谱的所有必要技术之后，以及如何以WKB方式获得修饰的重力阻尼或放大因子，我们集中于特定形式的感兴趣的重力。计算改性重力对能量光谱的影响的最重要参数是参数$ a_m $，我们计算出$ f（r，ϕ）$重力，chern-simons校正$ f（r，ϕ）$ drackity，einstein-gauss-gauss-bonnet-einstein-gauss-bonnet-forive $ f（r，r，r，r，foriv forverity $ f（r，f）） Einstein-Gauss-Bonnet校正的$ F（R，ϕ）$重力。 $ a_m $的确切形式是在文献中首次明确提出的。关于Einstein-Gauss-Bonnet校正的$ F（R，ϕ）$重力，以及较高的衍生范围延长的Einstein-Gauss-Bonnet校正的$ F（R，ϕ）$重力理论，我们关注的是，重力波传播速度与真空中的光相等。我们为根据宇宙时间和红移而表达的$ a_m $表示表达式，可直接用于数值计算，用于修饰重力对原始重力波能能谱的影响。
In this work we shall exhaustively study the effects of modified gravity on the energy spectrum of the primordial gravitational waves background. S. Weinberg has also produced significant works related to the primordial gravitational waves with the most important one being the effects of neutrinos on primordial gravitational waves. With this sort review, our main aim is to gather all the necessary information for studying the effects of modified gravity on primordial gravitational waves in a concrete and quantitative way and in a single paper. After reviewing all the necessary techniques for extracting the general relativistic energy spectrum, and how to obtain in a WKB way the modified gravity damping or amplifying factor, we concentrate on specific forms of modified gravity of interest. The most important parameter involved for the calculation of the effects of modified gravity on the energy spectrum is the parameter $a_M$ which we calculate for the cases of $f(R,ϕ)$ gravity, Chern-Simons-corrected $f(R,ϕ)$ gravity, Einstein-Gauss-Bonnet-corrected $f(R,ϕ)$ gravity, and higher derivative extended Einstein-Gauss-Bonnet-corrected $f(R,ϕ)$ gravity. The exact forms of $a_M$ is presented explicitly for the first time in the literature. With regard to Einstein-Gauss-Bonnet-corrected $f(R,ϕ)$ gravity, and higher derivative extended Einstein-Gauss-Bonnet-corrected $f(R,ϕ)$ gravity theories, we focus on the case that the gravitational wave propagating speed is equal to that of light's in vacuum. We provide expressions for $a_M$ expressed in terms of the cosmic time and in terms of the redshift, which can be used directly for the numerical calculation of the effect of modified gravity on the primordial gravitational wave energy spectrum.
