Multi-messenger lensing time delay as a probe of the graviton mass

Abstract

Gravitational lensing is a powerful probe of cosmology and astrophysics. With the prospect of the first strongly lensed gravitational waves on the horizon, we highlight an opportunity to test fundamental physics. In this work, we assume a nonzero mass for the graviton, which leads to gravitational waves following timelike geodesics instead of null geodesics. We derive standard gravitational lensing equations, such as the scattering angle, the time-delay between different images and the magnification, which normally rely on the assumption of null geodesics. We show that a single strongly lensed multi-messenger event is enough to constrain the graviton mass to $m<3\cdot 10^{-23}$ eV/c${}^2$. Notably this constraint is independent of the lens model, the waveform model, and of cosmology. Additionally, we explore magnification of images and find that they offer at least three orders of magnitude weaker bounds than the time delay, and have a dependence on the correct modeling of the lens and cosmology.

12 pages, 4 figures

References in corpus (20)

• Multi-messenger Observations of a Binary Neutron Star Merger
• Resummation of Massive Gravity
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Euclid. I. Overview of the Euclid mission
• Search for gravitational lensing signatures in LIGO-Virgo binary black hole events
• Forecasting the detection capabilities of third-generation gravitational-wave detectors using $\text{GWFAST}$
• Standard sirens with a running Planck mass
• Lensing of gravitational waves: efficient wave-optics methods and validation with symmetric lenses
• Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
• Consistent massive graviton on arbitrary backgrounds
• Gravitational wave propagation beyond geometric optics
• Apparent Superluminality of Lensed Gravitational Waves
• Lensing of Gravitational Waves as a Novel Probe of Graviton Mass
• Multi-messenger Gravitational Lensing
• Euclid Quick Data Release (Q1). The Strong Lensing Discovery Engine C: Finding lenses with machine learning
• Gravitational Microlensing Time Delays at High Optical Depth: Image Parities and the Temporal Properties of Fast Radio Bursts
• Bounds on the charge of the graviton using gravitational wave observations
• Strong Gravitational Lensing in Horndeski theory
• Accelerated parameter estimation of supermassive black hole binaries in LISA using a meshfree approximation
• A Bright Future? Prospects for Cosmological Tests of GR with Multimessenger Gravitational Wave Events