Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Initial Data and the Final Fate of Inhomogeneous Dust Collapse   We examine here the relevance of the initial state of a collapsing dust cloud
towards determining it's final fate in the course of a continuing gravitational
collapse. It is shown that given any arbitrary matter distribution $M(r)$ for
the cloud at the initial epoch, there is always a freedom to choose rest of the
initial data, namely the initial velocities of the collapsing spherical shells,
so that the collapse could result either in a black hole or a naked singularity
depending on this choice. Thus, given the initial density profile, to achieve
the desired end state of the gravitational collapse one has to give a suitable
initial velocity to the cloud. We also characterize here a wide new family of
black hole solutions resulting from inhomogeneous dust collapse. These
configurations obey the usual energy conditions demanding the positivity of
energy density.

28
The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph