https://doi.org/10.1140/epjc/s10052-016-4062-4
Regular Article - Theoretical Physics
Thermodynamics of charged Lovelock: AdS black holes
Department of Physics, Cochin University of Science and Technology, Cochin, 682202, India
* e-mail: mail.prasobhcb@gmail.com
Received:
25
February
2016
Accepted:
5
April
2016
Published online:
15
April
2016
We investigate the thermodynamic behavior of maximally symmetric charged, asymptotically AdS black hole solutions of Lovelock gravity. We explore the thermodynamic stability of such solutions by the ordinary method of calculating the specific heat of the black holes and investigating its divergences which signal second-order phase transitions between black hole states. We then utilize the methods of thermodynamic geometry of black hole spacetimes in order to explain the origin of these points of divergence. We calculate the curvature scalar corresponding to a Legendre-invariant thermodynamic metric of these spacetimes and find that the divergences in the black hole specific heat correspond to singularities in the thermodynamic phase space. We also calculate the area spectrum for large black holes in the model by applying the Bohr–Sommerfeld quantization to the adiabatic invariant calculated for the spacetime.
© The Author(s), 2016
