Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A phase space description of the FLRW quantum cosmology in Ho$\check{\rm
  r}$ava-Lifshitz type gravity   Quantum cosmology of the Friedmann-Lema\^{i}tre-Robertson-Walker model with
cosmological constant in the Ho$\check{\rm r}$ava-Lifshitz type gravity is
studied in the phase space by means of the Wigner function. The modification of
the usual general relativity description by the Ho$\check{\rm r}$ava-Lifshitz
type gravity induces a new scenario for the origin of the Universe with an
embryonic era where the Universe can exist classically before the tunneling
process takes place and which gives rise to the current evolution of the
Universe. The Wigner functions corresponding to the Hartle-Hawking, Vilenkin
and Linde boundary conditions are obtained by means of numerical calculations.
In particular three cases were studied for the potential of the Wheeler-DeWitt
equation: tunneling barrier with and without embryonic era and when the
potential barrier is not present. The quantum behavior of these three cases are
analyzed using the Wigner function for the three boundary conditions
considered.

12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex