Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lorentz breaking terms from Einstein gravity   We construct an action which is invariant under the foliation preserving
diffeomorphism from the Einstein Hilbert action. Starting from the Einstein
Hilbert action, we introduce the gauge invariance under the anisotropic
rescaling by using the St\"uckelberg method. We then introduce the gauge field
corresponds to the anisotropic rescaling, and the St\"uckelberg field turns out
to be the Nambu-Goldstone boson. The Nambu-Goldstone boson, however, is not
completely eaten by the massive gauge field and the Nambu-Goldstone boson can
be integrated out from the action. Then the resultant action is a
Horava-Lifshitz type action which contains $R^3$ term.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th