Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy of black holes with arbitrary shapes in loop quantum gravity   The quasi-local notion of an isolated horizon is employed to study the
entropy of black holes without any particular symmetry in loop quantum gravity.
The idea of characterizing the shape of a horizon by a sequence of local areas
is successfully applied in the scheme to calculate the entropy by the $SO(1,1)$
BF boundary theory matching loop quantum gravity in the bulk. The generating
function for calculating the microscopical degrees of freedom of a given
isolated horizon is obtained. Numerical computations of small black holes
indicate a new entropy formula containing the quantum correction related to the
partition of the horizon. Further evidence shows that, for a given horizon
area, the entropy decreases as a black hole deviates from the spherically
symmetric one, and the entropy formula is also well suitable for big black
holes.

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph