Testing Lorentz symmetry with space-based gravitational-wave detectors

Abstract

Lorentz symmetry (LS), one of the most fundamental physical symmetries, has been extensively studied in the context of quantum gravity and unification theories. Many of these theories predict a LS violation, which could arise from the discreteness of spacetime, or extra dimensions. Standard-model extension (SME) is an effective field theory to describe Lorentz violation whose effects can be explored using precision instruments such as atomic clocks and gravitational-wave (GW) detectors. Considering the pure-gravity sector and matter-gravity coupling sector in the SME, we studied the leading Lorentz-violating modifications to the time delay of light and the relativistic frequency shift of the clock in the space-based GW detectors. We found that the six data streams from the GW mission can construct various combinations of measurement signals, such as single-arm round-trip path, interference path, triangular round-trip path, etc. These measurements are sensitive to the different combinations of SME coefficients and provide novel linear combinations of SME coefficients different from previous studies. Based on the orbits of TianQin, LISA, and Taiji missions, we calculated the response of Lorentz-violating effects on the combinations of the measurement signal data streams. Our results allow us to estimate the sensitivities for SME coefficients: $10^{-6}$ for the gravity sector coefficient ${\bar{s}}^{TT}$, $10^{-6}$ for matter-gravity coupling coefficients $({\bar{a}}_{\text{eff}}^{(e+p)}{)}_T$ and ${\bar{c}}_{TT}^{(e+p)}$, and $10^{-5}$ for $({\bar{a}}_{\text{eff}}^n{)}_T$ and ${\bar{c}}_{TT}^n$.

17 pages, 10 figures

References in corpus (38)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• The Confrontation between General Relativity and Experiment
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Laser Interferometer Space Antenna
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Matter-gravity couplings and Lorentz violation
• Atom Interferometry tests of the isotropy of post-Newtonian gravity
• What Do We Know About Lorentz Invariance?
• LISA technology and instrumentation
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
• Short-range gravity and Lorentz violation
• Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
• Classical kinematics for Lorentz violation
• General post-Minkowskian expansion of time transfer functions
• New tests of local Lorentz invariance of gravity with small-eccentricity binary pulsars
• Signals for Lorentz violation in gravitational waves
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Testing Lorentz symmetry with Lunar Laser Ranging
• Search for Lorentz violation in short-range gravity
• Time-delay and Doppler tests of the Lorentz symmetry of gravity
• Searching for photon-sector Lorentz violation using gravitational-wave detectors
• Combined search for Lorentz violation in short-range gravity
• Lorentz violation in the gravity sector: The t puzzle
• Lorentz Symmetry Violations from Matter-Gravity Couplings with Lunar Laser Ranging
• Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges
• Projected Constraints on Lorentz-Violating Gravity with Gravitational Waves
• Testing local Lorentz invariance with short-range gravity
• Limits on Lorentz violation in gravity from worldwide superconducting gravimeters
• Combined Search for a Lorentz-Violating Force in Short-Range Gravity Varying as the Inverse Sixth Power of Distance
• Searches for beyond-Riemann gravity
• Light propagation in the field of a moving axisymmetric body: theory and application to JUNO
• Lorentz-violation-induced arrival time delay of astroparticles in Finsler spacetime
• Constraining velocity-dependent Lorentz/CPT-violations using Lunar Laser Ranging
• Relativistic tidal effects on clock-comparison experiments
• Precession of spheroids under Lorentz violation and observational consequences for neutron stars
• Light propagation in the field of the N-body system and the application in the TianQin mission