Phase transitions in D-dimensional Gauss-Bonnet-Born-Infeld AdS black holes

In this paper, we have investigated the phase transition in black holes when Gauss-Bonnet corrections to the spacetime curvature and Born-Infeld extension in stress-energy tensor of electromagnetic field are considered in a negative cosmological constant background. It is evident that the black hole undergoes a phase transition as the specific heat capacity at constant potential shows discontinuities. Further, the computation of the free energy of the black hole, the Ehrenfest scheme and the Ruppeiner state space geometry analysis are carried out to establish the second order nature of this phase transition. The effect of non-linearity arising from Born-Infeld electrodynamics is also evident from our analysis. Our investigations are done in general D-spacetimc dimensions with D > 4, and specific computations have been carried out in D = 5, 6, 7 spacetime dimensions.

Automated summary

In this study, we investigated the phase transition in black holes with Gauss-Bonnet corrections and Born-Infeld extension, and found that the black hole undergoes a phase transition in a negative cosmological constant background. Through specific heat capacity, free energy, and state space geometry analysis, we demonstrated the second order nature of this phase transition. Non-linearity effects from Born-Infeld electrodynamics were also evident in our analysis.