Radiation from quantum weakly dynamical horizons in LQG

Abstract

Using the recent thermodynamical study of isolated horizons by Ghosh and Perez, we provide a statistical mechanical analysis of isolated horizons near equilibrium in the grand canonical ensemble. By matching the description of the dynamical phase in terms of weakly dynamical horizons with this local statistical framework, we introduce a notion of temperature in terms of the local surface gravity. This provides further support to the recovering of the semiclassical area law just by means of thermodynamical considerations. Moreover, it allows us to study the radiation process generated by the LQG dynamics near the horizon, providing a quantum gravity description of the horizon evaporation. For large black holes, the spectrum we derive presents a discrete structure which could be potentially observable and might be preserved even after the inclusion of all the relevant transition lines.

9 pages, 2 figures

References in corpus (5)

• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• Black hole entropy quantization
• On knottings in the physical Hilbert space of LQG as given by the EPRL model
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Cited by in corpus (6)

• CFT/Gravity Correspondence on the Isolated Horizon
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• The scaling of black hole entropy in loop quantum gravity
• Statistical analysis of entropy correction from topological defects in Loop Black Holes
• Aspects of quantum gravity
• Report on the session QG4 of the 13th Marcel Grossmann Meeting