Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spacetime averaging of exotic singularity universes   Taking a spacetime average as a measure of the strength of singularities we
show that big-rips (type I) are stronger than big-bangs. The former have
infinite spacetime averages while the latter have them equal to zero. The
sudden future singularities (type II) and $w-$singularities (type V) have
finite spacetime averages. The finite scale factor (type III) singularities for
some values of the parameters may have an infinite average and in that sense
they may be considered stronger than big-bangs.

13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th