Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Instability of an emergent universe   Oscillating solutions to the effective equations of Loop Quantum Cosmology
have been suggested for the role of an `eternal seed', providing a possible
starting point for the emergent universe scenario. We investigate the stability
of a particular model, sourced by a homogeneous massless scalar field and a
negative cosmological constant, with respect to small perturbations and to
quantum collapse. We find that the model has perturbatively stable and unstable
solutions, with both types of solutions occupying significant regions of the
parameter space. All solutions are unstable with respect to collapse by quantum
tunneling to zero size. We discuss the possibility that the state resulting
from the collapse is non-singular, so it may tunnel back to the oscillating
regime. We argue that the universe is then likely to evolve to states of very
large size with large particle occupation numbers.

2
The categories of this paper are: math
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex