Probing the speed of gravity with LVK, LISA, and joint observations

Abstract

Theories of dark energy that affect the speed of gravitational waves $c_{\mathrm{GW}}$ on cosmological scales naturally lead to a frequency-dependent transition of that speed close to the LIGO/Virgo/KAGRA (LVK) band. While observations such as GW170817 assure us that $c_{\mathrm{GW}}$ is extremely close to the speed of light in the LVK band, a frequency-dependent transition below the LVK band is a smoking-gun signal for large classes of dynamical dark energy theories. Here we discuss 1) how the remnants of such a transition can be constrained with observations in the LVK band, 2) what signatures are associated with such a transition in the LISA band, and 3) how joint observations in the LVK and LISA bands allow us to place tight constraints on this transition and the underlying theories. We find that deviations of $c_{\mathrm{GW}}$ can be constrained down to a level of $\sim 10^{-17}$ in the LVK $\text{a}nd$ LISA bands even for mild frequency-dependence, much stronger than existing bounds for frequency-independent $c_{\mathrm{GW}}\ne c$. We use the strain data from GW170817 to bound the deviation of $c_{\mathrm{GW}}$ to be less than $10^{-17}$ at 100 Hz and less than $10^{-18}$ at 500 Hz. We also identify a particularly interesting type of transition in between the LVK and LISA bands and show how multi-band observations can constrain this further. Finally, we discuss what these current and forecasted constraints imply for the underlying dark energy theories.

12 pages + appendices and references, 5 figures; v3: minor clarifications added, matches published version

References in corpus (33)

• Array Programming with NumPy
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Advanced LIGO
• Cosmology and the Fate of Dilatation Symmetry
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Causality, Analyticity and an IR Obstruction to UV Completion
• Dark Energy after GW170817: dead ends and the road ahead
• INTEGRAL Detection of the First Prompt Gamma-Ray Signal Coincident with the Gravitational Wave Event GW170817
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
• Model Waveform Accuracy Standards for Gravitational Wave Data Analysis
• Introduction to Effective Field Theory
• Galileon inflation
• DBI and the Galileon reunited
• Anisotropic stress as signature of non-standard propagation of gravitational waves
• Effective Field Theory of Cosmic Acceleration: constraining dark energy with CMB data
• Observables and unobservables in dark energy cosmologies
• Detecting binary neutron star systems with spin in advanced gravitational-wave detectors
• Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
• Riding on irrelevant operators
• Measuring the speed of cosmological gravitational waves
• Effects of modified gravity on B-mode polarization
• Positivity Bounds on Dark Energy: When Matter Matters
• Measuring the propagation speed of gravitational waves with LISA
• Long-lived inverse chirp signals from core collapse in massive scalar-tensor gravity
• Optimising growth of structure constraints on modified gravity
• Are Scalar and Tensor Deviations Related in Modified Gravity?

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• Probing Massive Fields with Multi-Band Gravitational-Wave Observations
• Effective speed of gravitational waves
• A novel probe of graviton dispersion relations at nano-Hertz frequencies
• Testing general relativity with gravitational waves -- improving and extending Modified Dispersion Relation tests
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• Cosmic magnification in beyond-Horndeski gravity