Hawking radiation, local temperatures, and nonequilibrium thermodynamics of the black holes with non-killing horizon
arXiv:2101.12612 · doi:10.1103/PhysRevD.104.026011
Abstract
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. Therefore, the black hole with non-killing horizon can be overall in non-equilibrium steady state while the Hawking temperature of the black funnel can be viewed as the local temperature and the corresponding Hawking radiation can be regarded as being in the local equilibrium with the horizon of the black funnel. By AdS/CFT, we discuss some possible implications of our results of local Hawking temperature for the non-equilibrium thermodynamics of dual conformal field theory. We further discuss the nonequilibrium thermodynamics of the black funnel, where the first law can be formulated as the entropy production rate being equal to the sum of the changes of the entropies from the system (black funnel) and environments while the second law is given by the entropy production being larger than or equal to zero. We found the time arrow emerged from the nonequilibrium black hole heat and particle transport dissipation. We also discuss how the nonequilibrium dissipation may influence the evaporation process of the black funnel.
References in corpus (19)
- Gauge Theory Correlators from Non-Critical String Theory
- The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
- Hawking Radiation as Tunneling
- Building an AdS/CFT superconductor
- On the Rigidity Theorem for Spacetimes with a Stationary Event Horizon or a Compact Cauchy Horizon
- Numerical Methods for Finding Stationary Gravitational Solutions
- Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua
- Black funnels and droplets from the AdS C-metrics
- Hawking radiation in large N strongly-coupled field theories
- Surface gravities for non-Killing horizons
- AdS flowing black funnels: Stationary AdS black holes with non-Killing horizons and heat transport in the dual CFT
- Stationary holographic plasma quenches and numerical methods for non-Killing horizons
- Far from equilibrium energy flow in quantum critical systems
- Flowing Funnels: Heat sources for field theories and the AdS_3 dual of CFT_2 Hawking radiation
- Holographic thermal field theory on curved spacetimes
- Black Funnels
- Black funnels and droplets in thermal equilibrium
- Black Droplets
- Rotating Black Droplet