Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical study of Penrose-like inequalities in a family of axially
  symmetric initial data   Our current picture of black hole gravitational collapse relies on two
assumptions: i) the resulting singularity is hidden behind an event horizon --
weak cosmic censorship conjecture -- and ii) spacetime eventually settles down
to a stationarity state. In this setting, it follows that the minimal area
containing an apparent horizon is bound by the square of the total ADM mass
(Penrose inequality conjecture). Following Dain et al. 2002, we construct
numerically a family of axisymmetric initial data with one or several
marginally trapped surfaces. Penrose and related geometric inequalities are
discused for these data. As a by-product, it is shown how Penrose inequality
can be used as a diagnosis for an apparent horizon finder numerical routine.

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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs