Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wormhole inducing exponential expansion in $R^2$ gravity   Wormholes are considered both from the Wheeler deWitt equation, as well as
from the field equations in the Euclidean background of Roberson Walker
mini-superspace in $R^2$ gravity. Quantum wormhole satisfies Hawking Page
wormhole boundary condition in the Euclidean background of mini-superspace,
however, in the Lorentzian background wave functional turns to the usual
oscillatory function. The Euclidean field equations for $\kappa=0, \pm1$ lead
to the wormhole configuration; as well as oscillating universe in Euclidean
time $\tau$. The oscillating universe is equivalent to expanding universe under
analytic continuation $\tau=it$ and asymptotically leads to exponential
solution. An Euclidean wormhole in the very early era evolves to an oscillating
universe in $\tau$, thereafter crossing deSitter radius transition to an
inflationary era is evident at later epoch only for $\kappa=1$.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat