On arrival time difference between lensed gravitational waves and light

Abstract

It is known that geometrical optics no longer applies to the gravitational lensing if the wavelength of a propagating wave becomes comparable to or larger than the Schwarzshild radius of a lensing object. We investigate the propagation of gravitational waves in wave optics, particularly focusing on the difference between their arrival time and the arrival time of light. We argue that, contrary to the observation in the previous work, gravitational waves never arrive at an observer earlier than light when both gravitational waves and light are emitted from a same source simultaneously.

Version published in ApJ

References in corpus (7)

• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• What if LIGO's gravitational wave detections are strongly lensed by massive galaxy clusters?
• Gravitational Wave Interference via Gravitational Lensing: Measurements of Luminosity Distance, Lens Mass, and Cosmological Parameters
• The wave nature of continuous gravitational waves from microlensing
• Gravitational wave propagation beyond geometric optics
• Probing compact dark matter with gravitational wave fringes detected by the Einstein Telescope
• High accuracy on $H_0$ constraints from gravitational wave lensing events

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• Strongly Lensed Transient Sources: A Review
• Possible Causes of False General Relativity Violations in Gravitational Wave Observations
• Apparent Superluminality of Lensed Gravitational Waves
• Gravitational-wave cosmological distances in scalar-tensor theories of gravity
• Kramers-Kronig relation in gravitational lensing
• GWsim: a code to simulate gravitational waves propagating in a potential well
• Diffractive lensing of nano-Hertz gravitational waves emitted from supermassive binary black holes by intervening galaxies
• Superluminal propagation from IR physics
• Probing modified gravitational wave propagation with strongly lensed coalescing binaries