光速修正引力波传播的幻象
The mirage of luminal modified gravitational-wave propagation
AI总结：
本文利用共形不变性与有效场论证明，光速修正引力的引力波传播与 GR 相同，但 JW 度规最小耦合会改变 GW 与 EM 光度距离关系，并推广至非光速及速度随时间变化理论。
摘要：
利用引力波的共形不变性，我们表明，对于光速修正引力理论，引力波传播和光度距离与广义相对论中的相同。然而，对于与 Jordan 标架度规最小耦合的电磁学，引力波与电磁波光度距离之间的关系会被修正。利用有效场论，我们表明，对于具有 Jordan 标架物质-引力耦合的非光速理论，针对光速理论得到的修正关系同样有效。我们将分析推广到引力波速度随时间变化、且物质与 Jordan 或 Einstein 标架度规最小耦合的情形。
英文摘要：
Using conformal invariance of gravitational waves, we show that for a luminal modified gravity theory, the gravitational-wave propagation and luminosity distance are the same as in general relativity. The relation between the gravitational-wave and electromagnetic-wave luminosity distance gets however modified for electromagnetism minimally coupled to the Jordan frame metric. Using effective field theory we show that the modified relation obtained for luminal theories is also valid for non-luminal theories with Jordan frame matter-gravity coupling.We generalise our analysis to a time-dependent speed of gravitational waves with matter minimally coupled to either the Jordan or Einstein frame metrics.
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