Comparative study of modified gravity theory and dark matter model based on galaxy rotation curve observation data

摘要：

包括近日点进动、星光偏折、引力红移、夏皮罗时间延迟、参考系拖拽和引力波等一系列实验验证，越来越多的实验观测都和广义相对论一致,但同时，暗物质到底是某种神秘物质还是不同于广义相对论的引力理论仍然是悬而未决的问题.星系旋转曲线是最早引发暗物质研究的观测证据.利用斯皮策光度法和精确旋转曲线测量数据对修改引力理论和暗物质模型进行对比研究,关键想法是，把修改引力理论对应成有效万有引力常数，通过对比有效万有引力常数的行为特征和解释星系旋转曲线观测数据的能力，来对比修改引力理论和暗物质模型.分析结果还不能明确区分修改引力理论和暗物质模型.

A series of experiments including perihelion precession, starlight deflection, gravitational redshift, Shapiro time delay, reference frame dragging, gravitational wave and other more and more observations are consistent with the theory of general relativity. However, at the same time, whether dark matter is a mysterious substance or a gravity theory different from general relativity remains an unresolved issue. The rotation curve of galaxies is the earliest observational evidence that triggered the study of dark matter. This article compares the modified gravity theory and dark matter model using Spitzer photometry and precise rotation curve measurement data. Our key idea is mapping the modified gravity theories to an effective gravitational constant, and comparing the modified gravity theory with the dark matter model based on the behavioral characteristics of the effective gravitational constant and the ability to interpret the observed data on galaxy rotation curves. But conservatively speaking, we cannot clearly distinguish modifying gravity theory from dark matter models.

作者：

殷邦晟，曹周键

Yin Bangsheng, Cao Zhoujian

机构地区：

北京师范大学物理与天文学院

引用本文：

殷邦晟，曹周键。基于星系旋转曲线观测数据的修改引力理论和暗物质模型对比研究[J].河南师范大学学报(自然科学版).2026 .54(3) :92-100. (Yin Bangsheng. Cao Zhoujian. Comparative study of modified gravity theory and dark matter model based on galaxy rotation curve observation data[J].Journal of Henan Normal University(Natural Science Edition),2026,54(3):92-100.DOI: 10.16366/j.cnki.1000-2367.2025.09.04.0001.)

基金：

国家社会科学基金；中央高校基本科研业务费专项资金资助

关键词：

星系旋转曲线;暗物质;修改引力理论

rotation curve of galaxy; dark matter; modified gravity theory

分类号：

P145.2

基于星系旋转曲线观测数据的修改引力理论和暗物质模型对比研究.pdf