The thermodynamics of isolated horizons in loop quantum gravity
arXiv:2205.09984 · doi:10.1103/PhysRevD.106.126007
Abstract
The statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawking temperature and horizon mass of isolated horizons as physical inputs, the microcanonical ensemble associated with the system are well established. As a result, the black hole entropy and other thermodynamical quantities can be computed and consistent with well-known Hawking's semiclassical analysis. Moreover, the value of the Immirzi parameter of loop quantum gravity for {higher dimensional case and 4-dimensional U(1) case are} also obtained.
arXiv comment9 pages, 1 figure;V2, 12 pages, U(1) group case in 4 dimensions is included, figure updated
References in corpus (46)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Background Independent Quantum Gravity: A Status Report
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- Quantum Geometry and Black Hole Entropy
- Black hole entropy in Loop Quantum Gravity
- Black hole entropy from Quantum Geometry
- Isolated Horizons: Hamiltonian Evolution and the First Law
- Fundamental Structure of Loop Quantum Gravity
- Mechanics of Isolated Horizons
- Physical effects of the Immirzi parameter
- Black hole entropy and SU(2) Chern-Simons theory
- Black hole entropy from an SU(2)-invariant formulation of Type I isolated horizons
- Black hole entropy and isolated horizons thermodynamics
- Black hole state counting in Loop Quantum Gravity: A number theoretical approach
- Detailed black hole state counting in loop quantum gravity
- Mass Formulas for Stationary Einstein-Yang-Mills Black Holes and a Simple Proof of Two Staticity Theorems
- New Variables for Classical and Quantum Gravity in all Dimensions I. Hamiltonian Analysis
- New Variables for Classical and Quantum Gravity in all Dimensions III. Quantum Theory
- New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis
- Quasi-local rotating black holes in higher dimension: geometry
- Quantum horizons and black hole entropy: Inclusion of distortion and rotation
- Counting black hole microscopic states in loop quantum gravity
- Loop quantum Schwarzschild interior and black hole remnant
- Backreaction of Hawking Radiation on a Gravitationally Collapsing Star I: Black Holes?
- Mechanics of multidimensional isolated horizons
- Loop quantum deparametrized Schwarzschild interior and discrete black hole mass
- Flux-area operator and black hole entropy
- Generating functions for black hole entropy in Loop Quantum Gravity
- On the role of the Barbero-Immirzi parameter in discrete quantum gravity
- Black hole entropy from loop quantum gravity in higher dimensions
- Coherent intertwiner solution of simplicity constraint in all dimensional loop quantum gravity
- New Variables for Classical and Quantum Gravity in all Dimensions V. Isolated Horizon Boundary Degrees of Freedom
- BF Theory Explanation of the Entropy for Non-rotating Isolated Horizons
- Reduced Phase Space Quantization of Black Holes: Path Integrals, and Effective Dynamics
- New Variables for Classical and Quantum Gravity in all Dimensions IV. Matter Coupling
- Entropy of black holes with arbitrary shapes in loop quantum gravity
- Mechanics of higher-dimensional black holes in asymptotically anti-de Sitter space-times
- Higher dimensional Loop Quantum Cosmology
- Perelomov type coherent states of SO(D + 1) in all dimensional loop quantum gravity
- Superposition type coherent states in all dimensional loop quantum gravity
- Twisted geometry coherent states in all dimensional loop quantum gravity: I. Construction and Peakedness properties
- Quantum geometry and effective dynamics of Janis-Newman-Winicour singularities
- The Entropy of Higher Dimensional Nonrotating Isolated Horizons from Loop Quantum Gravity
- Twisted geometry coherent states in all dimensional loop quantum gravity: II. Ehrenfest Property
- Thermodynamics in new model of loop quantum cosmology
- Fix Immirzi parameter by quasinormal modes in four and higher spacetime dimensions
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- Effective four-dimensional loop quantum black hole with a cosmological constant
- Higher-dimensional quantum Oppenheimer-Snyder model
- Quantum Oppenheimer-Snyder models in loop quantum cosmology with Lorentz term
- Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string
- Effective Dynamics of Loop Quantum Kaluza-Klein Cosmology