Testing the variation of the fine structure constant with strongly lensed gravitational waves

Abstract

The possible variation of the electromagnetic fine structure constant ${\alpha }_e$ on cosmological scales arouses great interests in recent years. The strongly lensed gravitational waves and the electromagnetic counterparts could be used to test this variation. Under the assumption that the speed of photon could be modified, while the speed of GW is the same as GR predicated, and they both propagate in a flat Friedman-Robertson-Walker universe, we investigate the difference of time delays of the images and derive the upper bound of the variation of ${\alpha }_e$. For a typical lensing system in the standard cosmological models, we obtain $B\cos \theta \le 1.85\times 10^{-5}$, where $B$ is the dipolar amplitude and $\theta$ is the angle between observation and the preferred direction. Our result is consistent with the most up-to-date observations on ${\alpha }_e$. In addition, the observations of strongly lensed gravitational waves and the electromagnetic counterparts could be used to test which types of alternative theories of gravity can account for the variation of ${\alpha }_e$.

arXiv comment5 pages,0 figures

References in corpus (37)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Dynamics of dark energy
• The Confrontation between General Relativity and Experiment
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Varying constants, Gravitation and Cosmology
• Scientific Objectives of Einstein Telescope
• The afterglow of GRB050709 and the nature of the short-hard gamma-ray bursts
• Indications of a spatial variation of the fine structure constant
• Short GRB and binary black hole standard sirens as a probe of dark energy
• Five new Fast Radio Bursts from the HTRU high latitude survey: first evidence for two-component bursts
• Spatial variation in the fine-structure constant -- new results from VLT/UVES
• Cosmology with Strong Lensing Systems
• Speed of Gravitational Waves from Strongly Lensed Gravitational Waves and Electromagnetic Signals
• Testing the speed of gravitational waves over cosmological distances with strong gravitational lensing
• Impact of instrumental systematic errors on fine-structure constant measurements with quasar spectra
• Strong gravitational lensing of gravitational waves from double compact binaries - perspectives for the Einstein Telescope
• First Low-Latency LIGO+Virgo Search for Binary Inspirals and their Electromagnetic Counterparts
• Swift follow-up observations of candidate gravitational-wave transient events
• First Searches for Optical Counterparts to Gravitational-wave Candidate Events
• Constraints on frequency-dependent violations of Shapiro delay from GW150914
• Strongly lensed gravitational waves from intrinsically faint double compact binaries - prediction for the Einstein Telescope
• Testing Einstein's Weak Equivalence Principle With Gravitational Waves
• An upper limit to the variation in the fundamental constants at redshift z = 5.2
• A unified description for dipoles of the fine-structure constant and SnIa Hubble diagram in Finslerian universe
• Gravitational lensing time delays as a tool for testing Lorentz Invariance Violation
• Updated constraints on spatial variations of the fine-structure constant
• Fine-structure constant constraints on dark energy: II. Extending the parameter space
• Test of the Weak Equivalence Principle using LIGO observations of GW150914 and Fermi observations of GBM transient 150914

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