Signals for Lorentz violation in postNewtonian gravity
Abstract
The puregravity sector of the minimal standardmodel 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 postNewtonian metric. The corresponding postNewtonian behavior of a perfect fluid is studied and applied to the gravitating manybody 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 laserranging, 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 nearfuture experiments at sensitivities ranging from parts in 10^{4} down to parts in 10^{15}.
 Publication:

Physical Review D
 Pub Date:
 August 2006
 DOI:
 10.1103/PhysRevD.74.045001
 arXiv:
 arXiv:grqc/0603030
 Bibcode:
 2006PhRvD..74d5001B
 Keywords:

 11.30.Cp;
 04.25.Nx;
 04.80.Cc;
 97.60.Gb;
 Lorentz and Poincare invariance;
 PostNewtonian approximation;
 perturbation theory;
 related approximations;
 Experimental tests of gravitational theories;
 Pulsars;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 46 pages twocolumn REVTeX, accepted in Physical Review D