Testing local Lorentz invariance with short-range gravity

Abstract

The Newton limit of gravity is studied in the presence of Lorentz-violating gravitational operators of arbitrary mass dimension. The linearized modified Einstein equations are obtained and the perturbative solutions are constructed and characterized. We develop a formalism for data analysis in laboratory experiments testing gravity at short range and demonstrate that these tests provide unique sensitivity to deviations from local Lorentz invariance.

7 pages

References in corpus (66)

• The Confrontation between General Relativity and Experiment
• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• Gravity, Lorentz Violation, and the Standard Model
• The Low-Energy Frontier of Particle Physics
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Signals for Lorentz Violation in Electrodynamics
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• Stability, Causality, and Lorentz and CPT Violation
• CPT, Strings, and Meson Factories
• 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
• Neutrinos with Lorentz-violating operators of arbitrary dimension
• Short-range force detection using optically-cooled levitated microspheres
• Fermions with Lorentz-violating operators of arbitrary dimension
• Riemann-Finsler geometry and Lorentz-violating kinematics
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Sensitivity limits of a Raman atom interferometer as a gravity gradiometer
• Improved constraints on non-Newtonian forces at 10 microns
• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• What Do We Know About Lorentz Invariance?
• Sensitivity of CPT Tests with Neutral Mesons
• Testing local Lorentz invariance with gravitational waves
• Lorentz violation with an antisymmetric tensor
• Probing Lorentz and CPT violation with space-based experiments
• Review of short-range gravity experiments in the LHC era
• Stronger limits on hypothetical Yukawa interactions in the 40--8000 nm range
• Atom interferometry tests of local Lorentz invariance in gravity and electrodynamics
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
• Overview of the SME: Implications and Phenomenology of Lorentz Violation
• Bipartite Riemann-Finsler geometry and Lorentz violation
• Constraints on Lorentz violation from gravitational Cherenkov radiation
• Short-range gravity and Lorentz violation
• Lorentz-violating spinor electrodynamics and Penning traps
• Tests of local Lorentz invariance violation of gravity in the standard model extension with pulsars
• Classical kinematics for Lorentz violation
• Tests of Lorentz symmetry in the gravitational sector
• Generalized bumblebee models and Lorentz-violating electrodynamics
• Testing Lorentz symmetry with Lunar Laser Ranging
• Classical-physics applications for Finsler $b$ space
• Search for Lorentz violation in short-range gravity
• Testing Lorentz symmetry with planetary orbital dynamics
• New pulsar limit on local Lorentz invariance violation of gravity in the standard-model extension
• Searching for photon-sector Lorentz violation using gravitational-wave detectors
• Finsler-like structures from Lorentz-breaking classical particles
• Combined search for Lorentz violation in short-range gravity
• Lorentz violation in the gravity sector: The t puzzle
• Limits on violations of Lorentz Symmetry from Gravity Probe B
• Vector models of gravitational Lorentz symmetry breaking
• Light-bending tests of Lorentz invariance
• Orbital effects of Lorentz-violating Standard Model Extension gravitomagnetism around a static body: a sensitivity analysis
• Search for Lorentz invariance violation through tests of the gravitational inverse square law at short-ranges
• Lorentz violation, gravitomagnetism, and intrinsic spin
• Lorentz symmetry and Very Long Baseline Interferometry
• Standard static Finsler spacetimes
• Matter-Sector Lorentz Violation in Binary Pulsars
• Anisotropic cubic curvature couplings
• Enhanced sensitivity to Lorentz invariance violations in short-range gravity experiments
• An equivalence of Finslerian relativistic theories
• From classical Lagrangians to Hamilton operators in the Standard-Model Extension
• Primordial power spectrum of tensor perturbations in Finsler spacetime
• Measuring violations of General Relativity from single gravitational wave detection by non-spinning binary systems: higher-order asymptotic analysis
• Symmetries and Fields in Randers-Finsler spacetime

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• Gravity with explicit spacetime symmetry breaking and the Standard-Model Extension
• Combined Search for a Lorentz-Violating Force in Short-Range Gravity Varying as the Inverse Sixth Power of Distance
• 3+1 Formulation of the Standard-Model Extension Gravity Sector
• Hamiltonian formulation of an effective modified gravity with nondynamical background fields
• Analysis of birefringence and dispersion effects from spacetime-symmetry breaking in gravitational waves
• Testing velocity-dependent CPT-violating gravitational forces with radio pulsars
• Lorentz Violation and Sagnac Gyroscopes
• Testing the Gravitational Weak Equivalence Principle in the Standard-Model Extension with Binary Pulsars
• Gravity Theories with Background Fields and Spacetime Symmetry Breaking
• Velocity-dependent inverse cubic force and solar system gravity tests
• Gravity with Explicit Diffeomorphism Breaking
• Constraining velocity-dependent Lorentz/CPT-violations using Lunar Laser Ranging
• Neutron Star Structure in the Minimal Gravitational Standard-Model Extension and the Implication to Continuous Gravitational Waves
• Modeling spectral lags in active galactic nucleus flares in the context of Lorentz invariance violation searches
• Testing CPT violation with correlated neutral mesons
• The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited
• Classical Lagrangians for the nonminimal spin-nondegenerate Standard-Model Extension at higher orders in Lorentz violation
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• On the self-consistency of compact objects in Lorentz-violating gravity theories
• Spherical-harmonic tensors
• Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking
• Short-range forces due to Lorentz-symmetry violation
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Testing Lorentz symmetry with space-based gravitational-wave detectors