AI 中文总结
本文以引力标准模型扩展的六维算符为基础，推导修正引力的引力波色散关系，利用GW170817、GRB170817A及GW150914事件的观测数据，对非双折射与双折射系数施加约束，明确标准线性化引力的适用范围。
AI 中文摘要
本文研究受破坏时空对称性的高阶导数项影响的引力波传播，以引力标准模型扩展（gravitational Standard-Model Extension）的两项六维贡献为出发点。对作用量线性化后得到含时空恒定背景场附加项的波动方程，推导了协变形式下引力波的修正色散关系，区分非双折射与双折射两类扇区。将系数按具有类电磁场指数结构的集合分类被证实具有重要价值。我们基于GW170817与GRB 170817A事件中测得的引力波与光子到达时间差，对非双折射系数施加约束；双折射系数的界限则来自GW150914事件中未观测到两种模式的可分辨分离。这些发现量化了所考虑修正下标准线性化引力的适用范围。
英文摘要
The present article deals with gravitational-wave propagation affected by higher-derivative terms that break spacetime symmetries. Two dimension-6 contributions of the gravitational Standard-Model Extension pose our starting point. A linearization of the action implies a wave equation that contains additional terms with spacetime-constant background fields. The modified dispersion relations in covariant form for gravitational waves are derived, where we distinguish between nonbirefringent and birefringent sectors. A classification of the coefficients in terms of sets with index structures resembling those of the electromagnetic fields has proven to be valuable. We constrain the nonbirefringent coefficients based on the measured arrival time difference between the gravitational wave and photons from the events GW170817 and GRB 170817A, respectively. Bounds on the birefringent coefficients result from the absence of a perceivable separation of the two modes in the event GW150914. These findings quantify the extent to which standard linearized gravity is valid based on the modifications considered.
Comments26 pages, 7 tables
