Einstein-Aether引力理论中的后后牛顿光子方程(英文)

The Post-Post-Newtonian Equations of the Photon in the Einstein-Aether Theory

采用后牛顿近似方法讨论了Einstein-aether引力理论中光子的后后牛顿轨道方程.导出了光子方程中的后后牛顿修正项,当后牛顿参数c14=0和度规张量gij中的各项异性部分被忽略时,这套方程回到先前文献中出现的后后牛顿光线方程.比较本理论结论和当今空间引力实验中的实验结论,Einstein-aether理论的后后牛顿近似可以得到验证.

The post-post-Newtonian equations of the photon in the Einstein-aether theory are discussed using the post-Newtonian approximation method.The partial differential equations of the post-post-Newtonian amendatory term of photon are deduced.When the post-Newtonian parameter c14 is equal to 0 and the anisotropic part of gij is neglected,the equations will be reduced to the post-post-Newtonian equations in previous literature.Compared with the experimental results obtained in the high precision spatial gravitational tests,the theoretical result in this paper verifies the post-post-Newtonian approximation of Einstein-aether theory.