29,058 research outputs found
Area products for in AdS space
We derive the thermodynamic products particularly area (or entropy) products
of 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.Comment: 20 pages, 6 figure
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