Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic corrections to black hole and black ring entropy in
  tunneling approach   The tunneling approach beyond semiclassical approximation has been used to
calculate the corrected Hawking temperature and entropy for various black holes
and FRW universe model. We examine their derivations, and prove that the
quantity $H$ in the corrected temperature is the explicit function of the only
free parameter $\mathcal{A}$ (which is an auxiliary parameter defined by
$\mathcal{A}=\hbar S_{BH}$). Our analysis improves previous calculations, and
indicates that the leading order logarithmic correction to entropy is a natural
result of the corrected temperature and the first law of thermodynamics.
Additionally, we apply the tunneling approach beyond semiclassical
approximation to neutral black rings. Based on the analysis, we show that the
entropy of neutral black rings also has a logarithmic leading order correction.

30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom