Signals for Lorentz Violation in Post-Newtonian Gravity

Abstract

The pure-gravity sector of the minimal Standard-Model Extension is studied in the limit of Riemann spacetime. A method is developed to extract the modified Einstein field equations in the limit of small metric fluctuations about the Minkowski vacuum, while allowing for the dynamics of the 20 independent coefficients for Lorentz violation. The linearized effective equations are solved to obtain the post-newtonian metric. The corresponding post-newtonian behavior of a perfect fluid is studied and applied to the gravitating many-body system. Illustrative examples of the methodology are provided using bumblebee models. The implications of the general theoretical results are studied for a variety of existing and proposed gravitational experiments, including lunar and satellite laser ranging, laboratory experiments with gravimeters and torsion pendula, measurements of the spin precession of orbiting gyroscopes, timing studies of signals from binary pulsars, and the classic tests involving the perihelion precession and the time delay of light. For each type of experiment considered, estimates of the attainable sensitivities are provided. Numerous effects of local Lorentz violation can be studied in existing or near-future experiments at sensitivities ranging from parts in 10^4 down to parts in 10^{15}.

46 pages two-column REVTeX, accepted in Physical Review D

References in corpus (10)

• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Failure of Gauge Invariance in the Nonperturbative Formulation of Massless Lorentz-Violating QED
• The Laser Astrometric Test of Relativity (LATOR) Mission
• Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources
• Testing Lorentz invariance by use of vacuum and matter filled cavity resonators
• Probing Lorentz violation with Doppler-shift experiments
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Lorentz Violation and Synchrotron Radiation
• Spontaneous Breaking of Lorentz Invariance
• Experimental Design for the LATOR Mission

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• Prospects for Large Relativity Violations in Matter-Gravity Couplings
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Progress in Measurements of the Gravitational Bending of Radio Waves Using the VLBA
• Testing for Lorentz Violation: Constraints on Standard-Model Extension Parameters via Lunar Laser Ranging
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• One-Loop Renormalization of QCD with Lorentz Violation
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• Non-local on-shell field redefinition for the SME
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• A characteristic observable signature of preferred frame effects in relativistic binary pulsars
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• Quantum Gravity Phenomenology without Lorentz Invariance Violation: a detailed proposal
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• Some physical displays of the space anisotropy relevant to the feasibility of its being detected at a laboratory
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• Tests of Relativistic Gravity in Space: Recent Progress and Future Directions
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• Probing Relativity using Space-Based Experiments