scholarly journals Asymptotically non-flat rotating dilaton black holes

2003 ◽  
Vol 20 (7) ◽  
pp. 1403-1410 ◽  
Author(s):  
Tanwi Ghosh ◽  
P Mitra
1995 ◽  
Vol 447 (2-3) ◽  
pp. 441-461 ◽  
Author(s):  
Kevin C.K. Chan ◽  
James H. Horne ◽  
Robert B. Mann

1994 ◽  
Vol 26 (5) ◽  
pp. 321-326 ◽  
Author(s):  
P. H Cox ◽  
B Harms ◽  
Y Leblanc

2016 ◽  
Vol 94 (10) ◽  
pp. 1045-1053 ◽  
Author(s):  
Ahmad Sheykhi ◽  
Seyed Hossein Hendi ◽  
Fatemeh Naeimipour ◽  
Shahram Panahiyan ◽  
Behzad Eslam Panah

It was shown that with the combination of three Liouville-type dilaton potentials, one can derive dilaton black holes in the background of anti-de-Sitter (AdS) spaces. In this paper, we further extend the study on the dilaton AdS black holes by investigating their thermodynamic instability through a geometry approach. First, we review thermodynamic quantities of the solutions and check the validity of the first law of thermodynamics. Then, we investigate phase transitions and stability of the solutions. In particular, we disclose the effects of the dilaton field on the stability of the black holes. We also employ the geometrical approach toward thermodynamical behavior of the system and find that the divergencies in the Ricci scalar coincide with roots and divergencies in the heat capacity. We find that the behavior of the Ricci scalar around divergence points depends on the type of the phase transition.


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