Loop quantum dynamics of the Schwarzschild interior

2007/09/30 by Christian G. Boehmer, Christian G. Böhmer, Kevin Vandersloot · 8 citations
Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #De Sitter universe #General relativity #Geometry #Gravitation #Initial singularity #Loop quantum cosmology #Loop quantum gravity #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Schwarzschild metric #Schwarzschild radius #Singularity #Theoretical physics #Universe #astro-ph #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1103/physrevd.76.104030

published as Phys.Rev.D76:104030,2007 · Update to match version accepted for publication in PRD

arxiv created 2007/10/08 · openalex publication_date 2007/11/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We examine the Schwarzschild interior of a black hole, incorporating quantum gravitational modifications due to loop quantum gravity. We consider an improved loop quantization using techniques that have proven successful in loop quantum cosmology. The central Schwarzschild singularity is resolved and the implications for the fate of an in-falling test particle in the interior region is discussed. The singularity is replaced by a Nariai type universe. We discuss the resulting conformal diagram, providing a clear geometrical interpretation of the quantum effects.

Citations

• Loop quantum cosmology and thek=−1Robertson-Walker model
• Impulsive waves in the Nariai universe
• Instabilities in numerical loop quantum cosmology
• Loop quantum cosmology in Bianchi type I models: Analytical investigation
• Charged Nariai black holes with a dilaton
• Loop quantization of spherically symmetric midi-superspaces
• Lattice refining loop quantum cosmology, anisotropic models, and stability
• On Some Static Solutions of Einstein's Gravitational Field Equations in a Spherically Symmetric Case

Cited by

• Schrödinger-like quantum dynamics in loop quantized black holes
• Semiclassical Loop Quantum Black Hole
• Quantum induced shock dynamics in gravitational collapse: insights from effective models and numerical frameworks
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Numerical study of black-hole formation in Painlevé-Gullstrand coordinates
• Loop quantization of the Schwarzschild interior revisited
• Unimodular loop quantum cosmology
• Brief Review on Black Hole Loop Quantization

Related

• Phenomenological loop quantum geometry of the Schwarzschild black hole
• Stability of the Schwarzschild interior in loop quantum gravity
• Quantum Riemannian Geometry and Black Holes
• Effective black hole interior and the Raychadhuri equation
• Loop quantization of spherically symmetric midisuperspaces and loop quantum geometry of the maximally extended Schwarzschild spacetime