Testing local Lorentz invariance with short-range gravity

TL;DR

This paper investigates potential violations of local Lorentz invariance in short-range gravity by analyzing the Newtonian limit with Lorentz-violating operators, providing a formalism for experimental data analysis.

Contribution

It introduces a formalism for testing Lorentz invariance in short-range gravity experiments and explores the effects of Lorentz-violating operators of arbitrary mass dimension.

Findings

Short-range gravity tests are highly sensitive to Lorentz violations.

The developed formalism aids in analyzing experimental data for Lorentz invariance deviations.

The study extends the theoretical framework for Lorentz violation in 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.