Time-delay and Doppler tests of the Lorentz symmetry of gravity

Abstract

Modifications to the classic time-delay effect and Doppler shift in General Relativity (GR) are studied in the context of the Lorentz-violating Standard-Model Extension (SME). We derive the leading Lorentz-violating corrections to the time-delay and Doppler shift signals, for a light ray passing near a massive body. It is demonstrated that anisotropic coefficients for Lorentz violation control a time-dependent behavior of these signals that is qualitatively different from the conventional case in GR. Estimates of sensitivities to gravity-sector coefficients in the SME are given for current and future experiments, including the recent Cassini solar conjunction experiment.

arXiv comment13 pages, 4 figures, references added, matches PRD version

References in corpus (130)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• The Confrontation between General Relativity and Experiment
• Gravity, Lorentz Violation, and the Standard Model
• GAIA: Composition, Formation and Evolution of the Galaxy
• Modern tests of Lorentz invariance
• Noncommutative Field Theory and Lorentz Violation
• Gravity with a dynamical preferred frame
• Ghost Condensation and a Consistent Infrared Modification of Gravity
• Signals for Lorentz Violation in Electrodynamics
• Chern-Simons Modification of General Relativity
• Stability, Causality, and Lorentz and CPT Violation
• CPT, Strings, and Meson Factories
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Ultraviolet modifications of dispersion relations in effective field theory
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Constraints on Lorentz violation from clock-comparison experiments
• Lorentz-Violating Vector Fields Slow the Universe Down
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Atom Interferometry tests of the isotropy of post-Newtonian gravity
• Lorentz and CPT Violation in Neutrinos
• Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
• CPT and Lorentz Tests in Penning Traps
• Constraints on Torsion from Lorentz Violation
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Spontaneous Lorentz and Diffeomorphism Violation, Massive Modes, and Gravity
• Testing CPT with Anomalous Magnetic Moments
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Spacetime-varying couplings and Lorentz violation
• Sensitivity of CPT Tests with Neutral Mesons
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Constraining the New Aether: Gravitational Cherenkov Radiation
• Vacuum Cherenkov radiation
• Lorentz and CPT tests with spin-polarized solids
• Testing Non-commutative QED, Constructing Non-commutative MHD
• Past electron-positron g-2 experiments yielded sharpest bound on CPT violation for point particles
• Lorentz-Violating Electrostatics and Magnetostatics
• New limits on Planck scale Lorentz violation in QED
• Lorentz-violating electrodynamics and the cosmic microwave background
• Probing Lorentz and CPT violation with space-based experiments
• Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• A New Limit on Signals of Lorentz Violation in Electrodynamics
• Lorentz and CPT Violation in the Neutrino Sector
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Bounding Noncommutative QCD
• Black Holes in Einstein-Aether Theory
• The Cherenkov effect in Lorentz-violating vacua
• Astrophysical Tests of Lorentz and CPT Violation with Photons
• Relativity tests by complementary rotating Michelson-Morley experiments
• Comments on Non-Commutative Phenomenology
• Signals for CPT and Lorentz Violation in Neutral-Meson Oscillations
• Lorentz Violation and Short-Baseline Neutrino Experiments
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
• Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
• Constraints and Stability in Vector Theories with Spontaneous Lorentz Violation
• Bound on Lorentz- and CPT-Violating Boost Effects for the Neutron
• Overview of the SME: Implications and Phenomenology of Lorentz Violation
• Loop-Generated Bounds on Changes to the Graviton Dispersion Relation
• Global three-parameter model for neutrino oscillations using Lorentz violation
• CPT, T, and Lorentz Violation in Neutral-Meson Oscillations
• New CP-violation and preferred-frame tests with polarized electrons
• Quantum Physics Exploring Gravity in the Outer Solar System: The Sagas Project
• Vacuum Photon Splitting in Lorentz-Violating Quantum Electrodynamics
• Test of CPT and Lorentz invariance from muonium spectroscopy
• Test of the isotropy of the speed of light using a continuously rotating optical resonator
• Stability of spherically symmetric solutions in modified theories of gravity
• New Observational Bounds to Quantum Gravity Signals
• Gravity from spontaneous Lorentz violation
• Static post-Newtonian equivalence of GR and gravity with a dynamical preferred frame
• Supersymmetry and Lorentz Violation
• The flight of the bumblebee: vacuum solutions of a gravity model with vector-induced spontaneous Lorentz symmetry breaking
• Quantum gravity and spin 1/2 particles effective dynamics
• Charm System Tests of CPT and Lorentz Invariance with FOCUS
• Test of Cosmic Spatial Isotropy for Polarized Electrons Using a Rotatable Torsion Balance
• Testing Lorentz and CPT symmetry with hydrogen masers
• Testing Lorentz Invariance and CPT Conservation with NuMI Neutrinos in the MINOS Near Detector
• Improved test of Lorentz Invariance in Electrodynamics using Rotating Cryogenic Sapphire Oscillators
• Optical cavity tests of Lorentz invariance for the electron
• Quantum-Gravity Phenomenology: Status and Prospects
• Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant
• Spontaneous Lorentz Violation and Nonpolynomial Interactions
• Tests of Lorentz violation in muon antineutrino to electron antineutrino oscillations
• Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Lorentz and CPT Violation in the Higgs Sector
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• Instabilities in the Aether
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Cosmology and the Standard Model
• Lorentz violation in the linearized gravity
• Probing Lorentz violation with Doppler-shift experiments
• Compton Scattering in the Presence of Lorentz and CPT Violation
• CPT Violation and Decoherence in Quantum Gravity
• Particle-accelerator constraints on isotropic modifications of the speed of light
• Odyssey: a Solar System Mission
• Lorentz Violation and Synchrotron Radiation
• String Theoretic Bounds on Lorentz-Violating Warped Compactification
• Astrophysical Limits on Lorentz Violation for All Charged Species
• Challenging Lorentz noninvariant neutrino oscillations without neutrino masses
• Tests of Lorentz invariance using hydrogen molecules
• More about spontaneous Lorentz-violation and infrared modification of gravity
• Bounds on Stringy Quantum Gravity from Low Energy Existing Data
• Asymmetrically warped compactifications and gravitational Lorentz violation
• Relativity of GPS Measurement
• Lorentz Violation in Goldstone Gravity
• Astrodynamical Space Test of Relativity using Optical Devices I (ASTROD I) - A class-M fundamental physics mission proposal for Cosmic Vision 2015-2025
• The Lorentz and CPT violating effects on H^0\to f^+ f^- (ZZ, W^+ W^-) decays
• Limits on Neutron Lorentz Violation from the Stability of Primary Cosmic Ray Protons
• Gravimagnetic effect of the barycentric motion of the Sun and determination of the post-Newtonian parameter gamma in the Cassini experiment
• Disentangling Forms of Lorentz Violation With Complementary Clock Comparison Experiments
• Bose-Einstein Condensates as a Probe for Lorentz Violation
• The Laser Astrometric Test of Relativity: Science, Technology, and Mission Design
• Sigma-Model Aether
• Analogue Models for T and CPT Violation in Neutral-Meson Oscillations
• Gauge Field Theory in the Infrared Regime
• Reply to ``Comment on `Test of constancy of speed of light with rotating cryogenic optical resonators' ''
• Bounds on Lorentz and CPT Violation from the Earth-Ionosphere Cavity
• Photon-propagation model with random background field: Length scales and Cherenkov limits
• The effect of the motion of the Sun on the light-time in interplanetary relativistic experiments
• Astrophysical Limits on Lorentz Violation for Pions
• Superfield Realizations of Lorentz and CPT Violation
• Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale
• Comment on "Test of constancy of speed of light with rotating cryogenic optical resonators"
• Lorentz Violation and Alpha-Decay
• K-essence Explains a Lorentz Violation Experiment

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• Hubble tension as a guide for refining the early Universe: Cosmologies with explicit local Lorentz and diffeomorphism violation
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• Lorentz violation in a uniform newtonian gravitational field
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Explicit Lorentz violation in a static and spherically-symmetric spacetime
• Modified-gravity theories with nondynamical background fields
• Anisotropic cubic curvature couplings
• Inflation as an amplifier: the case of Lorentz violation
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• Velocity-dependent inverse cubic force and solar system gravity tests
• Time delay of timelike particles in gravitational lensing of Schwarzschild spacetime
• Optical-Cavity Limits on Higher-Order Lorentz Violation
• Relating Noncommutative SO(2,3) Gravity to the Lorentz-Violating Standard-Model Extension
• Spontaneous Lorentz violation and asymptotic flatness
• An experimental test of gravity at high energy
• Violation of Hod's Conjecture and Probing it with Optical properties of a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• Construction of higher-order metric fluctuation terms in spacetime symmetry-breaking effective field theory
• Antimatter, the SME, and Gravity
• Gravitational physics with antimatter
• Testing Lorentz symmetry with space-based gravitational-wave detectors
• Gravitational Correction to Vacuum Polarization
• The Standard-Model Extension and Gravitational Tests
• Quasinormal Modes and Hawking Radiation Sparsity of GUP corrected Black Holes in Bumblebee Gravity with Topological Defects
• Spontaneous Lorentz symmetry violation from infrared gravity