Hawking radiation, local temperatures, and nonequilibrium thermodynamics of the black holes with non-killing horizon

Understand

Recently, a class of stationary black hole solutions with non-killing horizon in the asymptotic AdS bulk space was constructed to describe the far from equilibrium heat transport and particle transport from the boundary black holes via AdS/CFT correspondence.

• In this study, we calculate the spectrum of Hawking radiation of the black funnel solution.
• Our results indicate that the spectrum and the temperatures as well as the chemical potentials of the non-equilibrium black funnel do depend on one of the spatial coordinates.
• This is different from the equilibrium black holes with killing horizon, where the temperatures are uniform.