Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Geodesic Motion in Horava-Lifshitz Gravity   We propose an action for a free particle in Horava-Lifshitz gravity based on
Foliation Preserving Diffeomorphisms. The action reduces to the usual
relativistic action in the low energy limit and allows for subluminal and
superluminal motions with upper and lower bounds on velocity respectively. We
find that deviation from general relativity is governed by a position dependent
coupling constant which also depends on the mass of the particle. As a result,
light-like geodesics are not affected whereas massive particles follow
geodesics that become mass dependent and hence the equivalence principle is
violated. We make an exact study for geodesics in flat space and a qualitative
analysis for those in a spherically symmetric curved background.

2
The categories of this paper are: math
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph