TY - JOUR
ID - 1618
TI - Topological black hole chemistry in massive gravity
with power-Maxwell invariant field
JO - Iranian Journal of Physics Research
JA - IJPR
LA - en
SN - 1682-6957
AU - Hendi, H
AU - Dehghani, A
AD - 1. Department of Physics,School of Science, Shiraz University, Shiraz, Iran
2. Biruni Observatory, School of Science, Shiraz University, Shiraz, Iran
Y1 - 2020
PY - 2020
VL - 20
IS - 2
SP - 293
EP - 309
KW - black hole chemistry
KW - massive gravity
KW - power theory of Maxwell invariant
DO - 10.47176/ijpr.20.2.36261
N2 - In this paper, asymptotically AdS black hole solutions of massive gravity in the presence of nonlinear electromagnetic field arisen from the power theory of Maxwell invariant are investigated and the associated Euclidean on-shell action is presented. Using the Euclidean on-shell action, the gravitational partition function in the canonical ensemble is computed in arbitrary dimensions and then thermodynamic quantities of topological black holes are obtained. By extending the thermodynamic phase space, i.e., treating negative cosmological constant as thermodynamic pressure, the first law of thermodynamics as well as associated Smarr formula are examined. Next, the equation of state of topological black holes is obtained and it is proven that the critical point equation of these solutions can exhibit black hole phase transitions similar to those of van der Waals, van der Waals like and solid/liquid/gas (related to triple point) phase transitions in usual thermodynamic systems. Especially, the van der Waals phase transition is observed in 4 and higher dimensions, van der Waals type phase transition can be seen in 6 and higher dimensions, and phase transitions associated with triple point, i.e., small/intermediate/large black hole phase transition may happen in 6 and higher dimensions.
UR - https://ijpr.iut.ac.ir/article_1618.html
L1 - https://ijpr.iut.ac.ir/article_1618_ab136081804b86e9a66e068d5bcd043d.pdf
ER -