Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability of the Einstein static state in $f(T)$ gravity   The stability of the Einstein static universe against the homogeneous scalar
perturbations in $f(T)$ gravity is analyzed. Both the spatial closed and open
universes are considered. We find that the stable Einstein static solutions
exist in both cases. Considering a concrete $f(T)$ model and assuming that the
cosmic energy has a constant equation of state $w$, we obtain that, in the
closed case, $w<1/3$ is required. Thus, $f(T)$ theory gives a larger region of
$w$ than that in general relativity ($-1<w<-1/3$) to have the stable Einstein
static solution. For the open universe, $f(T)$ theory allows the stable
Einstein static solution, although this kind of solution is forbidden in
general relativity. Thus, a modification of gravity can play a crucial role in
stabilizing the Einstein static solution.

16
The categories of this paper are: stat
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph