LIGO 的 O1/O2 引力波事件对 Einstein-aether 理论限制能力探讨
广义相对论是继牛顿万有引力理论后,在强引力场、强动态时空区域更精准的引力理论,大量的天文观测验证了广义相对论的正确性。但广义相对论与量子理论在逻辑体系上不相容,广义相对论还存在时空奇点的理论问题,宇宙学中还存在暗物质和暗能量的引力本质问题等。在使用 Yunes 等人提出的 Einstein-aether 理论修改引力波模板的基础上,用 Fisher Matrix 的参数估计法,探讨了几个典型双星系统对修改引力模板的参数估计所能达到的参数估计精度,以及LIGO 和 VIRGO 已经发现的 11 个双星并合事件应对修改引力的限制能力;最后,使用匹配因子的方法,探讨修改引力的参数对引力波模板的影响。如果 Einstein-aether 理论只是微小修正广义相对论引力波波形,11 个双星引力波事件可以对 Einstein-aether 理论的3个参数给出限制;如果 Einstein-aether 理论波形与广义相对论引力波波形存在明显偏离,对 Einstein-aether 理论的检验需要更仔细的引力波波形研究和数据分析。
General relativity is a more accurate gravitational theory for strong gravitational field and dynamic space-time region after Newtons theory of gravity. A large number of astronomical observations have verified the theory of general relativity. However, general relativity and quantum theory are not compatible logically. There are also some theoretical problems in general relativity, such as the singularity of space-time, the problem of dark matter and dark energy in cosmology. Based on modified waveform of the Einstein-ather theory proposed by Yunes and his coworkers, Fisher matrix method is used to discuss the parameter estimation accuracy of several typical binary systems, and the ability of 11 binary merging events discovered by LIGO and Virgo are used to constrain the modified gravity. Finally, using the matching factor to discuss the influence of the modified gravitational parameters on the gravitational wave template. If Einstein-ather theory just slightly modifies the gravitational wave waveform of general relativity, 11 binary gravitational wave events can limit the three parameters of Einstein-ather theory. If the waveforms of Einstein-ather theory deviate significantly from the waveforms of general relativity, the test of Einsteinather theory needs more careful study of gravitational wave waveforms and data analysis.
刘刚强,曹周键
10.3969/j.issn.1000-8349.2021.01.06
物理学天文学
引力波广义相对论Einstein-aether 理论
刘刚强,曹周键.LIGO 的 O1/O2 引力波事件对 Einstein-aether 理论限制能力探讨[EB/OL].(2023-06-07)[2025-08-24].https://chinaxiv.org/abs/202306.00342.点此复制
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