Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Analysis of BTZ Black Hole Formation Due to the Collapse of a
  Dust Shell   We perform Hamiltonian reduction of a model in which 2+1 dimensional gravity
with negative cosmological constant is coupled to a cylindrically symmetric
dust shell. The resulting action contains only a finite number of degrees of
freedom. The phase space consists of two copies of $ADS^2$ -- both coordinate
and momentum space are curved. Different regions in the Penrose diagram can be
identified with different patches of $ADS^2$ momentum space. Quantization in
the momentum representation becomes particularly simple in the vicinity of the
horizon, where one can neglect momentum non-commutativity. In this region, we
calculate the spectrum of the shell radius. This spectrum turns out to be
continuous outside the horizon and becomes discrete inside the horizon with
eigenvalue spacing proportional to the square root of the black hole mass. We
also calculate numerically quantum transition amplitudes between different
regions of the Penrose diagram in the vicinity of the horizon. This calculation
shows a possibility of quantum tunneling of the shell into classically
forbidden regions of the Penrose diagram, although with an exponentially damped
rate away from the horizon.

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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph