LIGO 的 O1/O2 引力波事件对 Einstein-aether 理论限制能力探讨 postprint

Abstract: General relativity is a more accurate gravitational theory for strong gravitational field and dynamic space-time region after Newton’s 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 Einstein#2;ather theory needs more careful study of gravitational wave waveforms and data analysis.