arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0708.3606astro-ph
收藏

变宇宙学常数模型:基于现有观测数据的重建方程和约束条件

Variable Cosmological Constant model: the reconstruction equations and constraints from current observational data

Yin-Zhe Ma

摘要:

本文首先简要回顾了变宇宙学常数模型及其标量场描述。我们主要讨论两类变宇宙学常数模型:$a$幂律模型和$H$幂律模型。提出了一种求取两种模型全部等效标量场势和有效状态方程的方法。此外,还详细讨论了标量场势的动力学性质和有效状态方程。这两个模型的参数受当前307个高质量的“联盟”Ia型超新星数据集、斯隆数字巡天(SDSS)的重子声学振荡(BAO)测量、双子座深空巡天(GDDS)的9个观测\textrm{H(z)}数据和威尔金森微波各向异性探测器(\textrm{WMAP})三年观测给出的宇宙微波背景(CMB)位移参数的约束。计算并绘制了两种模型的哈勃参数、减速参数和物质密度图。然后,我们证明了两个模型中的指标$m$和$n$在决定模型的性质时具有特定的意义。此外,还讨论了指数$m$和$n$对有效物态方程和标量场势的影响。

英文摘要:

In this paper we first give a brief review of the variable cosmological constant model and its scalar field description. We mainly discuss two types of variable cosmological constant models: $a$ power law and $H$ power law models. A method to obtain all of the equivalent scalar field potentials and the effective equation of state of the two models is presented. In addition, the dynamics of such scalar field potentials and effective equation of state are discussed in detail. The parameters of the two models are constrained by current 307 high-quality "Union" SN Ia data set, baryon acoustic oscillation (BAO) measurement from the Sloan Digital Sky Survey (SDSS), 9 observational \textrm{H(z)} data derived from the Gemini Deep Deep Survey (GDDS) and the shift parameter of the cosmic microwave background (CMB) given by the three-year Wilkinson Microwave Anisotropy Probe (\textrm{WMAP}) observations. We also calculate and draw the picture of the Hubble parameter, the deceleration parameter and the matter density of the two models. Then, we show that the indices $m$ and $n$ in the two models have specific meaning in determining properties of the models. Moreover, The reasons that indices $m$ and $n$ may also influence the behavior of effective equation of state and scalar field potentials are presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑