Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics

Understand

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.