248 research outputs found
Thermodynamics of Charged AdS Black Holes in Extended Phases Space via M2-branes Background
Motivated by a recent work on asymptotically Ad black holes in M-theory,
we investigate both thermodynamics and thermodynamical geometry of
Raissner-Nordstrom-AdS black holes from M2-branes. More precisely, we study AdS
black holes in , with the number of M2-branes interpreted
as a thermodynamical variable. In this context, we calculate various
thermodynamical quantities including the chemical potential, and examine their
phase transitions along with the corresponding stability behaviors. In
addition, we also evaluate the thermodynamical curvatures of the Weinhold,
Ruppeiner and Quevedo metrics for M2-branes geometry to study the stability of
such black object. We show that the singularities of these scalar curvature's
metrics reproduce similar stability results obtained by the phase transition
program via the heat capacities in different ensembles either when the number
of the M2 branes or the charge are held fixed. Also, we note that all results
derived in [1] are recovered in the limit of the vanishing charge.Comment: 19 pages, 12 figure
Phase transitions and geothermodynamics of black holes in dRGT massive gravity
In this paper, we study the thermodynamics and geothermodynamics of spherical
black hole solutions in dRGT massive gravity in a new extended phase space.
Inspired by the work of Kastor et al. [1], by interpreting the graviton mass as
a thermodynamical variable, we propose a first law of thermodynamics which
include a mass term and establish a new Smarr Formula. Then, we perform a
thermodynamical analysis to reveal the existence of a critical behavior for
black holes in dRGT massive gravity with two different critical points through
canonical and grand canonical ensembles. To consolidate these results, we make
use of the thermodynamical geometry formalism, with the HPEM and the Gibbs free
energy metrics, to derive the singularities of Ricci scalar curvatures and show
that they coincide with those of the capacities. The effect of different values
of the spacetime parameters on the stability conditions is also discussed.Comment: 22 pages, Latex file, 10 figures, accepted in EPJ
On Thermodynamics of AdS Black Holes in M-Theory
Motivated by a recent work on asymptotically AdS_4 black holes in M-theory,
we investigate the thermodynamics and thermodynamical geometry of AdS black
holes from M2 and M5-branes. Concretely, we consider AdS black holes in
AdS_{p+2}\times S^{11-p-2}, where p=2,5 by interpreting the number of M2 (and
M5-branes) as a thermodynamical variable. We study the corresponding phase
transition to examine their stabilities by calculating and discussing various
thermodynamical quantities including the chemical potential. Then, we compute
the thermodynamical curvatures from the Quevedo metric for M2 and M5-branes
geometries to reconsider the stability of such black objects. The Quevedo
metric singularities recover similar stability results provided by the phase
transition program.Comment: 16 pages, 12 figures. Late
Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
Interpreting the cosmological constant \Lambda as a thermodynamic pressure
and its conjugate quantity as a thermodynamic volume, we study the Maxwell's
equal area law of higher dimensional Gauss-Bonnet-AdS black holes in extended
phase space. These black hole solutions critically behave like Van der Waals
systems. It has been realized that below the critical temperature T_c the
stable equilibrium is violated. We show through calculations that the critical
behaviors for the uncharged black holes only appear in d=5. For the charged
case, we analyse solutions in d = 5 and d = 6 separately and find that, up to
some constrains, the critical behaviors only appear in the spherical topology.
Using the Maxwell's construction, we also find the isobar line for which the
liquid-gas-like phases coexist.Comment: 18 pages, 4 figures, latex. References added and typos corrected.
Minor changes. Final version accepted in European Physical Journal
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