Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Area products for ${\cal H}^{\pm}$ in AdS space   We derive the thermodynamic products particularly area (or entropy) products
of ${\cal H}^{\pm}$ for certain class of black holes in AdS space. We show by
explicit and exact calculations that more complicated function of event horizon
area and Cauchy horizon area is indeed mass-independent. This mass-independent
quantities indicate that they \emph{could turn out to be an "universal"
quantity} provided that they depends only on the quantized angular momentum,
quantized charges, and cosmological constant respectively. Furthermore, these
area (or entropy) product relations for several class of black holes in AdS
space gives us strong indication to understanding the nature of non-extremal
black hole entropy (both inner and outer) at the microscopic level. Moreover,
we compute the Penrose's famous \emph{Cosmic Censorship Inequality} (which
requires Cosmic-Censorship hypothesis) for these class of black holes in AdS
space . Local thermodynamic stability has been discussed for these black holes
and under certain condition certain black holes displayed second order phase
transition.

25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs