Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singularity resolution in gravitational collapse   We investigate the unhindered gravitational collapse of a homogeneous scalar
field with nonzero potential, a two-dimensional analog of the Mexican
hat-shaped Higgs field potential. The collapsing scalar field is surrounded by
an exterior retarded (outgoing) generalized Vaidya spacetime. We prove that the
density dependence on the scale factor cannot be expressed as an algebraic
function in such a scenario. For a certain transcendental expression of the
density of such field as a function of scale factor, we then show that the
collapse evolves to a singularity at an infinite comoving time, which is
equivalent to saying that the singularity is avoided altogether. An ultra high
density region of the order of Planck length can, however, be reached in a
finite comoving time. The absence of the formation of trapped surfaces makes
this ultra high density region globally visible.

20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: quant-ph