Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Initial data and spherical dust collapse   By considering families of radial null geodesics, we study the subsets of
initial data that lead to naked singularities and black holes in inhomogeneous
spherical dust collapse. We introduce the notion of central homogeneity for
spherical dust collapse and prove that for the occurrence of naked
singularities, the initial data set must in general be centrally homogeneous.
Even though mathematically this indicates that naked singularities are in
general unstable, we show that centrally inhomogeneous perturbations in the
initial data are not physically reasonable. This provides an example of the
fact that instability in this context deduced with respect to general
perturbations can become stabilised once the class of perturbations are
restricted to be physical.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph