Matter-gravity couplings and Lorentz violation

By A. Kostelecky, J. Tasson. 2010

243 citations recorded by the source corpus.

The gravitational couplings of matter are studied in the presence of Lorentz and $CPT$ violation. At leading order in the coefficients for Lorentz violation, the relativistic quantum Hamiltonian is derived from the gravitationally coupled minimal standard-model extension. For spin-independent effects, the nonrelativistic quantum Hamiltonian and the classical dynamics for test and source bodies are obtained. A systematic perturbative method is developed to treat small metric and coefficient fluctuations about a Lorentz-violating and Minkowski background. The post-Newtonian metric and the trajectory of a test body freely falling under gravity in the presence of Lorentz violation are established. An illustrative example is presented for a bumblebee model. The general methodology is used to identify observable signals of Lorentz and $CPT$ violation in a variety of gravitational experiments and observations, including gravimeter measurements, laboratory and satellite tests of the weak equivalence principle, antimatter studies, solar-system observations, and investigations of the gravitational properties of light. Numerous sensitivities to coefficients for Lorentz violation can be achieved in existing or near-future experiments at the level of parts in ${10}^{3}$ down to parts in ${10}^{15}$. Certain coefficients are uniquely detectable in gravitational searches and remain unmeasured to date.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b9096a8d6f3427946fe5348c75eae5c5ddd39d86

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In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Torsion-balance tests of the weak equivalence principle (2012, methodology): “The standard model extension [73] expands the standard model of particle physics to systematically parametrize the effects of violating CPT and Lorentz symmetries.”
Search for New Physics with Atoms and Molecules (2017, methodology): “We refer the reader to Kostelecký and Tasson (2011) for the study of the gravitational couplings of matter in the presence of Lorentz and CPT violation and the derivation of the relativistic quantum Hamiltonian from the gravitationally coupled minimal SME.”