New five-dimensional charged AdS black hole solutions are found in Einstein–Gauss–Bonnet gravity and the nonlinear electrodynamics. These solutions include regular black holes as well as extremal black holes. The first law of the black hole thermodynamics is confirmed in the extended phase space where the cosmological constant is treated as the pressure. The first and second order phase transitions are investigated by observing the behavior of the heat capacity at constant pressure and the Gibbs free energy. In addition, the equation of state for the black holes and their P–V criticality are studied. Finally, the critical exponents are found to be the same as those of the Van der Waals fluid.
Bibliographical noteFunding Information:
We would like to thank Dr. Kyung Kiu Kim for useful discussion. This work was supported by the National Research Foundation of Korea (NRF) Grant with the Grant Number NRF-2016R1D1A1A09917598 and by the Yonsei University Future-leading Research Initiative of 2017 (2017-22-0098).
© 2019, The Author(s).
All Science Journal Classification (ASJC) codes
- Engineering (miscellaneous)
- Physics and Astronomy (miscellaneous)