Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phenomenological Description of the Interior of the Schwarzschild Black
  Hole   We discuss a sufficiently large 4-dimensional Schwarzschild black hole which
is in equilibrium with a heat bath. In other words, we consider a black hole
which has grown up from a small one in the heat bath adiabatically. We express
the metric of the interior of the black hole in terms of two functions: One is
the intensity of the Hawking radiation, and the other is the ratio between the
radiation energy and the pressure in the radial direction. Especially in the
case of conformal matters we check that it is a self-consistent solution of the
semi-classical Einstein equation, $G_{\mu\nu}=8\pi G \langle
T_{\mu\nu}\rangle$. It is shown that the strength of the Hawking radiation is
proportional to the c-coefficient, that is, the coefficient of the square of
the Weyl tensor in the 4-dimensional Weyl anomaly.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom