Comparing the parameterized post-Newtonian parameter γ values for different types of particles, or the same type of particles with different energies is an important method to test the Einstein Equivalence Principle (EEP). Assuming that the observed time delays are dominated by the gravitational potential of the Laniakea supercluster of galaxies, better results of EEP constraints can be obtained. In this paper, we apply photons from three kinds of cosmic transients, including TeV blazars, gamma-ray bursts as well as fast radio bursts to constrain EEP. With a gravitational field far more stronger than a single galaxy, we obtain 4–5 orders of magnitude more stringent than the previous results.

比较不同类型的粒子或具有不同能量的相同类型的粒子的参数化后牛顿参数γ值，是测试爱因斯坦当量原理（EEP）的重要方法。假设观测到的时延受星系Laniakea超团的引力影响，则可以获得更好的EEP约束结果。在本文中，我们应用来自三种宇宙瞬态的光子来约束EEP，包括TeV blazars，γ射线爆发以及快速无线电爆发。引力场远比单个星系强，我们得到的强度比以前的结果要严格4-5个数量级。