华东师范大学学报（自然科学版） >

2021 , Vol. 2021 >Issue 1: 67 - 81

DOI: https://doi.org/10.3969/j.issn.1000-5641.202022004

物理学与电子学

大尺度洛伦兹破缺与空间平坦性

  • 李静 ,
  • 薛迅
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  • 1. 华东师范大学 物理与电子科学学院, 上海　200241
    2. 新疆大学 理论物理中心, 乌鲁木齐　830046

收稿日期: 2020-03-09

  网络出版日期: 2021-01-28

基金资助

国家自然科学基金(11775080, 11865016)

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Spatial flatness and large-scale Lorentz violation

  • Jing LI ,
  • Xun XUE
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  • 1. School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China
    2. Center for Theoretical Physics, Xinjiang University, Urumqi　830046, China

Received date: 2020-03-09

  Online published: 2021-01-28

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摘要

局域测量得到的哈勃参数($ {H_0}$)与基于$\Lambda {\rm{CDM}}$(Lambda Cold Dark Matter Model)模型从微波背景辐射(Cosmic Microwave Background, CMB)测出来的哈勃参数之间存在不一致性, 促使人们超越标准宇宙学模型去考察新宇宙学模型, 比如空间非平坦的大尺度洛伦兹破缺模型. 由于空间曲率项、 宇宙学常数项和宇宙学扭曲(contortion)对于解释观测数据的贡献存在重叠简并, 这使得现有的模型对于解释观测数据具有存活空间. 通过对光度距离模量红移关系观测与模型预言的对比, 以及计算物质密度和有效宇宙学常数随时间的演化等途径, 将空间曲率密度限制在一定的范围以内, 并在此取值范围内讨论了空间不平坦的大尺度洛伦兹破缺模型的表现.

关键词： 洛伦兹破缺; 空间曲率; 哈勃常数

本文引用格式

李静 , 薛迅 . 大尺度洛伦兹破缺与空间平坦性[J]. 华东师范大学学报（自然科学版）, 2021 , 2021(1) : 67 -81 . DOI: 10.3969/j.issn.1000-5641.202022004

Abstract

There is an inconsistency between the Hubble parameter obtained from local measurements and model-based parameters obtained from cosmic microwave background (CMB) measurements. This inconsistency motivated us to consider new cosmological models based on $\Lambda {\rm{CDM}}$ (Lambda Cold Dark Matter Model), such as a large-scale Lorentz violation model with non-vanishing spatial curvature. The degeneracy among the spatial curvature, cosmological constant, and cosmological contortion distribution makes the model viable for interpretation of the observation data. By comparing the luminosity distance modulus and redshift with the model prediction and calculating the change in matter density as well as the cosmological constant over time, we limit the spatial curvature density to a certain range. Accordingly, we discuss the performance of the large-scale Lorentz violation model with non-vanishing spatial curvature under these constraints.

Key words： Lorentz violation; spatial curvature; Hubble constant

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