https://doi.org/10.1140/epjc/s10052-016-3928-9
Regular Article - Theoretical Physics
On thermodynamics of AdS black holes in M-theory
1
Département de Physique, LIRST, Faculté Polydisciplinaire, Université Sultan Moulay Slimane, Béni Mellal, Morocco
2
High Energy Physics and Astrophysics Laboratory, FSSM, Cadi Ayyad University, Marrakesh, Morocco
3
Département de Physique, Faculté des Sciences, Université Ibn Zohr, Agadir, Morocco
4
Département de Physique, LASIMO, Faculté des Sciences, Université Ibn Tofail, Kenitra, Morocco
* e-mail: hasan.elmoumni@edu.uca.ma
Received:
19
October
2015
Accepted:
2
February
2016
Published online:
13
February
2016
Motivated by recent work on asymptotically Ad
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 
, where 
by interpreting the number of M2- (and M5-branes) as a thermodynamical variable. More precisely, 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 holes. The Quevedo metric singularities recover similar stability results provided by the phase-transition program. It has been shown that similar behaviors are also present in the limit of large N.
© The Author(s), 2016
