Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exactly solvable models of two-dimensional dilaton gravity and quantum
  eternal black holes   New approach to exact solvability of dilaton gravity theories is suggested
which appeals directly to structure of field equations. It is shown that black
holes regular at the horizon are static and their metric is found explicitly.
If a metric possesses singularities the whole spacetime can be divided into
different sheets with one horizon on each sheet between neighboring
singularities with a finite value of dilaton field (addition horizons may arise
at infinite value of it), neighboring sheets being glued along the singularity.
The position of singularities coincide with the values of dilaton in solutions
with a constant dilaton field. Quantum corrections to the Hawking temperature
vanish. For a wide subset of these models the relationship between the total
energy and the total entropy of the quantum finite size system is the same as
in the classical limit. For another subset the metric itself does not acquire
quantum corrections. The present paper generalizes Solodukhin's results on the
RST model in that instead of a particular model we deal with whole classes of
them. Apart from this, the found models exhibit some qualitatively new
properties which are absent in the RST model. The most important one is that
there exist quantum black holes with geometry regular everywhere including
infinity.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph