Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Is the semi-classical analysis valid for extreme black holes?   The surface gravity for the extreme Reissner-Nordstr\"om black hole is zero
suggesting that it has a zero temperature. However, the direct evaluation of
the Bogolubov's coefficients, using the standard semi-classical analysis,
indicates that the temperature of the extreme black hole is ill definite: the
Bogolubov's coefficients obtained by performing the usual analysis of a
collapsing model of a thin shell, and employing the geometrical optical
approximation, do not obey the normalization conditions. We argue that the
failure of the employement of semi-classical analysis for the extreme black
hole is due to the absence of orthonormal quantum modes in the vicinity of the
event horizon in this particular case.

11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
21
The categories of this paper are: adap-org