Black hole singularities across phase transitions

We study the behavior of black hole singularities across the Hawking-Page phase transitions, uncovering possible connections between the physics inside and outside the horizon. We focus on the case of spacelike singularities in Einstein-scalar theory which are of the Kasner form. We find that the Kasner exponents are continuous and non-differentiable during the second order phase transitions, while discontinuous in the first order phase transitions. We give some arguments on the universality of this behavior. We also discuss possible observables in the dual field theory which encode the Kasner exponents.

Automated summary

The study focuses on the behavior of black hole singularities during the Hawking-Page phase transitions, finding that the Kasner exponents are continuous and nondifferentiable during second order phase transitions, but discontinuous during first order phase transitions. Arguments on the universality of this behavior are presented, along with discussions on possible observables in the dual field theory encoding the Kasner exponents.