AI 中文总结
该研究针对引力子质量估计问题，采用经非线性效应修正的经典牛顿引力势推导非线性密度波特征波长，将其对应有效引力子康普顿波长，得到星系尺度有效引力子质量的模型依赖估计，方法独立于已有成果。
AI 中文摘要
2016年2月，LIGO和Virgo合作组报告了双黑洞并合产生的引力波发现，结论为观测数据未显示违反广义相对论。LIGO与Virgo联合团队通过修正引力动力学测试给出了引力子质量的上限。Yukawa型引力势修正常作为修正引力语境中通用的有限范围参数化形式，包括受质量引力启发的模型；Yukawa修正通过半经验方法在f(R)引力框架下推导，f(R)引力是广义相对论的一种推广型修正引力。与该方法不同，本文采用经非线性效应修正的经典牛顿引力势，以获取非线性密度波的特征波长；该波长被唯象地等同于有效引力子康普顿波长，进而得到星系尺度内有效引力子质量的模型依赖估计。本文提出的方法独立于迄今发表的其他方法。
英文摘要
In February 2016 the LIGO and Virgo collaborations reported the discovery of gravitational waves in merging black holes, with the conclusion that their observational data did not show any violation of general relativity. The joint LIGO and Virgo team presented an upper limit on the graviton mass, using tests of modified gravitational dynamics. Yukawa-type gravitational potential corrections are often used as generic finite-range parametrisation in modified gravity contexts, including massive-gravity inspired models. Yukawa corrections are derived by semi-empirical approach, in the framework of f(R) gravity, a type of modified gravity which generalises Einsteins general relativity. Contrary to this approach, we use a classical Newtonian gravitational potential corrected by nonlinear effects in order to obtain a characteristic wavelength of the nonlinear density wave. This wavelength is then phenomenologically identified with an effective graviton Compton wavelength, leading to a model-dependent estimate of an effective graviton mass within the galaxy scale. The presented approach is independent from other methods published until now.
