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.

arXiv comment9 pages, 2 figures

References in corpus (30)

• Quantum Geometry and Black Hole Entropy
• General Laws of Black-Hole Dynamics
• Quantum Spin Dynamics (QSD)
• Black hole entropy in Loop Quantum Gravity
• Black Hole Entropy from Loop Quantum Gravity
• Spectroscopy of the quantum black hole
• Black hole entropy from Quantum Geometry
• Dynamical Horizons and their Properties
• ``Sum over Surfaces'' form of Loop Quantum Gravity
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
• Black hole boundaries
• Linking Topological Quantum Field Theory and Nonperturbative Quantum Gravity
• Isolated Horizons: A Generalization of Black Hole Mechanics
• Black hole entropy and SU(2) Chern-Simons theory
• Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
• Quantum Black Hole Entropy
• Black hole entropy and isolated horizons thermodynamics
• The first law for slowly evolving horizons
• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• On Quantum Statistical Mechanics of a Schwarzschild Black Hole
• Isolated, slowly evolving, and dynamical trapping horizons: geometry and mechanics from surface deformations
• The projector on physical states in loop quantum gravity
• Black hole entropy quantization
• The SU(2) Black Hole entropy revisited
• Physics with nonperturbative quantum gravity: radiation from a quantum black hole
• Quantum Geometry and Thermal Radiation from Black Holes
• Matrix Elements of Thiemann's Hamiltonian Constraint in Loop Quantum Gravity
• On knottings in the physical Hilbert space of LQG as given by the EPRL model
• Spin-Foam Models and the Physical Scalar Product

Cited by in corpus (21)

• Black Holes in Loop Quantum Gravity
• The black hole quantum atmosphere
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• Isolated Horizons and Black Hole Entropy in Loop Quantum Gravity
• Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
• Quantum evolution of black hole initial data sets: Foundations
• Geometric temperature and entropy of quantum isolated horizons
• CFT/Gravity Correspondence on the Isolated Horizon
• Asymptotically de Sitter Universe inside a Schwarzschild black hole
• Dynamical evaporation of quantum horizons
• Anyonic statistics and large horizon diffeomorphisms for Loop Quantum Gravity Black Holes
• Quantum Hairs and Entropy of Quantum Isolated Horizon from Chern-Simons Theory
• Hawking radiation from dynamical horizons
• Hidden Messenger from Quantum Geometry: Towards Information Conservation in Quantum Gravity
• The scaling of black hole entropy in loop quantum gravity
• The Gibbs paradox, Black hole entropy and the thermodynamics of isolated horizons
• Aspects of quantum gravity
• Statistical analysis of entropy correction from topological defects in Loop Black Holes
• Expansion operators in spherically symmetric loop quantum gravity
• Thermodynamic partition function from quantum theory for black hole horizons in loop quantum gravity
• Report on the session QG4 of the 13th Marcel Grossmann Meeting