Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical phenomena and a new class of self-similar spherically symmetric
  perfect-fluid solutions   We consider the self-similar solutions associated with the critical behavior
observed in the gravitational collapse of spherically symmetric perfect fluids
with equation of state $p=\alpha\mu$. We identify for the first time the global
nature of these solutions and show that it is sensitive to the value of
$\alpha$. In particular, for $\alpha>0.28$, we show that the critical solution
is associated with a new class of asymptotically Minkowski self-similar
spacetimes. We discuss some of the implications of this for critical phenomena.

27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex