Particle Kinematics in Horava-Lifshitz Gravity

TL;DR

This paper investigates how particle motion is altered in Horava-Lifshitz gravity, revealing deviations from standard physics that could be tested experimentally, especially in flat and Schwarzschild-like spacetimes.

Contribution

It derives the deformed geodesic equations for particles in Horava-Lifshitz gravity considering generalized Klein-Gordon fields.

Findings

Deviations from standard kinematics in flat spacetime.

Support for superluminal and massive luminal particles.

Potential for experimental tests of the theory.

Abstract

We study the deformed kinematics of point particles in the Horava theory of gravity. This is achieved by considering particles as the optical limit of fields with a generalized Klein-Gordon action. We derive the deformed geodesic equation and study in detail the cases of flat and spherically symmetric (Schwarzschild-like) spacetimes. As the theory is not invariant under local Lorenz transformations, deviations from standard kinematics become evident even for flat manifolds, supporting superluminal as well as massive luminal particles. These deviations from standard behavior could be used for experimental tests of this modified theory of gravity.