With the advent of gravitational-wave astronomy it has now been possible to constrain modified theories of gravity that were invoked to explain the dark energy. In a class of dilaton models, distances to cosmic sources inferred from electromagnetic and gravitational wave observations would differ due to the presence of a friction term. In such theories, the ratio of the Newton's constant to the fine structure constant varies with time. In this paper we explore the degree to which it will be possible to test such models. If collocated sources (e.g. supernovae and binary neutron star mergers), but not necessarily multimessengers, can be identified by electromagnetic telescopes and gravitational-wave detectors one can probe if light and gravitational radiation are subject to the same laws of propagation over cosmological distances. This helps in constraining the variation of Newton's constant relative to fine-structure constant. The next generation of gravitational wave detectors, such as the Cosmic Explorer and Einstein Telescope, in tandem with the Vera Rubin Observatory and gamma ray observatories such as the Fermi Space Observatory will be able to detect or constrain such variations at the level of a few parts in 100. We apply this method to GW170817 with distances inferred by the LIGO and Virgo detectors and the observed Kilonova.
Prospect on constraining environment-dependent dilaton model from gravitational redshift measurements
University of Chinese Academy of Sciences (UCAS)（中国科学院大学）；Institute of Theoretical Physics, Chinese Academy of Sciences (CAS)（中国科学院理论物理研究所）；Ningbo University（宁波大学）；Max Planck Institute for Gravitational Physics (Albert Einstein Institute)（马克斯·普朗克引力物理研究所（阿尔伯特·爱因斯坦研究所））；Institute of Mechanics, Chinese Academy of Sciences（中国科学院力学研究所）；Chinese Academy Of Sciences（中国科学院）
Constraints on a possible variation of the fine structure constant from galaxy cluster data
提出了一种新的方法来探测精细结构常数$α$的可能的时间演化的气体质量分数（$f_{gas}$）在星系团的X射线和Sunyaev-Zeldovich测量。考虑到$α$的变化与距离-对偶关系的破坏之间的直接关系，我们讨论了一类非线性逃逸模型对$α$的约束。虽然还没有竞争力的边界从高$z$类星体吸收系统，我们的限制，考虑样本的29个测量$f_{gas}$，在红移间隔$0.14 < z < 0.89$，提供了一个独立的估计$α$变化在低和中等红移。此外，当前和计划中的调查将提供更大量的数据，从而可以改善本分析中获得的$α$变化的限制。
