We recently suggested a nonlocal modification of Einstein's field equationsin which Newton's constant $G$ was promoted to a covariant differentialoperator $G_\Lambda(\Box_g)$. The latter contains two independentcontributions, which operate respectively in the infrared (IR) and ultraviolet(UV) energy regimes. In the light of the recent direct gravitational radiationmeasurements we aim to determine the UV-modified 1.5 post-Newtonian radiativequadrupole moment of a generic $n$-body system. We eventually use these initialresults in the particular context of a binary system and observe that in thelimit vanishing UV parameters we precisely recover the corresponding generalrelativistic results. Moreover we observe that the leading order deviation ofthe UV-modified radiative quadrupole moment numerically coincides with findingsobtained in the framework of calculations performed previously in the contextof possible deviations of the perihelion precession of Mercury.
展开▼
机译：我们最近建议对爱因斯坦的场方程进行非局部修改，其中牛顿常数$ G $被提升为协变微分算子$ G_ \ Lambda（\ Box_g）$。后者包含两个独立的贡献，分别在红外（IR）和紫外（UV）能量范围内运行。根据最近的直接引力辐射测量，我们的目标是确定一个通用的$ n $体系统的经UV改性的1.5牛顿后四极矩。我们最终在二进制系统的特定环境中使用这些初始结果，并观察到在极限消失的UV参数中，我们可以精确地恢复相应的广义相对论结果。此外，我们观察到，紫外线修饰的辐射四极矩的超前阶偏差在数值上与先前在水星近日点进动的可能偏差范围内进行的计算框架中获得的发现相吻合。
展开▼
