Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimensional dependence of naked singularity formation in spherical
  gravitational collapse   The complete spectrum of the endstates - naked singularities, or blackholes -
of gravitational collapse is analyzed for a wide class of $N$-dimensional
spacetimes in spherical symmetry, which includes and generalizes the dust
solutions and the case of vanishing radial stresses. The final fate of the
collapse is shown to be fully determined by the local behavior of a single
scalar function and by the dimension $N$ of the spacetime. In particular, the
``critical'' behavior of the N=4 spacetimes, where a sort of phase transition
from black hole to naked singularity can occur, is still present if N=5 but
does not occur if $N > 5$, independently from the initial data of the collapse.
Physically, the results turn out to be related to the kinematical properties of
the considered solutions.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math