Nonexistence of quantum black and white hole horizons in an improved dynamic approach
arXiv:2212.14535 · doi:10.1007/s11433-024-2386-3
Abstract
In this paper, we study the quantum geometric effects near the locations where classical black hole horizons used to appear in Einstein's classical theory, within the framework of an improved dynamic approach, in which the internal region of a black hole is modeled by the Kantowski-Sachs (KS) spacetime and the two polymerization parameters are functions of the phase space variables. Our detailed analysis shows that the effects are so strong that black and white hole horizons of the effective quantum theory do not exist at all and instead are replaced by transition surfaces, across which the metric coefficients and their inverses are smooth and remain finite, as are the corresponding curvatures, including the Kretschmann scalar. These surfaces always separate trapped regions from anti-trapped regions. The number of such surfaces is infinite, so the corresponding KS spacetimes become geodesically complete, and no black and white hole-like structures exist in this scheme.
revtex4-2, 6 figures, and two tables, v2: typos corrected, references added, v3: Additional analyses were provided, including new references and figures, while the conclusions remain the same, v4: to appear in SCIENCE CHINA Physics, Mechanics & Astronomy, v5: published version in SCIENCE CHINA Physics, Mechanics & Astronomy
References in corpus (29)
- Quantum Nature of the Big Bang: Improved dynamics
- Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
- Loop Quantum Dynamics of the Schwarzschild Interior
- Are loop quantum cosmos never singular?
- Friedmann Equations and Thermodynamics of Apparent Horizons
- Shadow and Quasinormal Modes of a Rotating Loop Quantum Black Hole
- Quantum Oppenheimer-Snyder and Swiss Cheese models
- Spherically Symmetric Quantum Geometry: States and Basic Operators
- From black holes to white holes: a quantum gravitational, symmetric bounce
- A geometric perspective on singularity resolution and uniqueness in loop quantum cosmology
- Phenomenological loop quantum geometry of the Schwarzschild black hole
- Loop quantization of spherically symmetric midi-superspaces
- Spherically symmetric loop quantum gravity: analysis of improved dynamics
- Black Hole evaporation: A Perspective from Loop Quantum Gravity
- Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
- Phenomenological dynamics of loop quantum cosmology in Kantowski-Sachs spacetime
- Kantowski-Sachs spacetime in loop quantum cosmology: bounds on expansion and shear scalars and the viability of quantization
- Improved Effective Dynamics of Loop-Quantum-Gravity Black Hole and Nariai Limit
- The Volume Operator in Spherically Symmetric Quantum Geometry
- Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
- Loop quantum black hole extensions within the improved dynamics
- Observational tests of the self-dual spacetime in loop quantum gravity
- Asymptotically de Sitter Universe inside a Schwarzschild black hole
- Brief review on black hole loop quantization
- Revisiting quantum black holes from effective loop quantum gravity
- Understanding quantum black holes from quantum reduced loop gravity
- Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution
- On the improved dynamics approach in loop quantum black holes
- Extended geometry of Gambini-Olmedo-Pullin polymer black hole and its quasinormal spectrum
Cited by in corpus (7)
- Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
- Symmetric black-to-white hole solutions with a cosmological constant
- A new quantization scheme of black holes in effective loop quantum gravity
- Lessons from gauge fixing and polymerization of loop quantum black holes with a cosmological constant
- Quantum geometric formulation of Brans-Dicke theory for Bianchi I spacetime
- Effective dynamics of Janis-Newman-Winicour spacetime
- Quantum Effective Dynamics of Papapetrou Spacetime