Thermodynamics and stability analysis of novel higher-dimensional dilaton black holes with the power-law Maxwell field
R. Baghbani, M. Dehghani
Abstract
For the [Formula: see text]-dimensional charged dilaton black holes with power-Maxwell nonlinear electrodynamics, we calculate the manifest form of the scalar, electromagnetic, and gravitational field equations. By accurately solving the field equations, the explicit form of the dilaton potential is given, which is expressed in the form of a Liouville-like function with three terms. The black hole metric has been calculated as a function with three rules, the second and third rules of which include a new geometry that leads to unique features. Thermodynamic quantities such as temperature, entropy, mass, electric charge and electric potential are calculated and it is shown that the first law of black hole thermodynamics is valid for all new solutions. It has been shown that all the solutions in the linear mode reduce to their corresponding solutions in the Einstein–Maxwell-dilaton theory. Based on the canonical ensemble method, the thermodynamic stability of the black holes and their phase transitions have been investigated. By calculating the heat capacity of the black holes, type-1 and type-2 phase transitions have been identified. The appropriate range and conditions required for a charged dilaton black hole with nonlinear electrodynamics to be stable are illustrated.