Stability of the Schwarzschild Interior in Loop Quantum Gravity

Abstract

In recent work, the Schwarzschild interior of a black hole was investigated, incorporating quantum gravitational modifications due to loop quantum gravity. The central Schwarzschild singularity was shown to be replaced by a Nariai type universe. In this brief report we show that this interior solution is stable with respect to small perturbations, in contrast to the classical Nariai universe.

4 pages, 4 figures; references added, minor modifications

References in corpus (9)

• Background Independent Quantum Gravity: A Status Report
• Quantum geometry and the Schwarzschild singularity
• Loop quantum black hole
• Pair Creation of Black Holes During Inflation
• Loop Quantum Dynamics of the Schwarzschild Interior
• Black holes in loop quantum gravity: the complete space-time
• Lattice refining loop quantum cosmology, anisotropic models and stability
• Loop quantization of spherically symmetric midi-superspaces : the interior problem
• Charged Nariai Black Holes With a Dilaton

Cited by in corpus (23)

• Emergence of product of constant curvature spaces in loop quantum cosmology
• Investigating Loop Quantum Gravity with EHT Observational Effects of Rotating Black holes
• Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
• Effective Polymer Dynamics of D-Dimensional Black Hole Interiors
• The Evolution of $\Lambda$ Black Holes in the Mini-Superspace Approximation of Loop Quantum Gravity
• Numerical loop quantum cosmology: an overview
• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
• Dynamical Surface Gravity in Spherically Symmetric Black Hole Formation
• Improved Effective Dynamics of Loop-Quantum-Gravity Black Hole and Nariai Limit
• Polymer quantization, singularity resolution and the 1/r^2 potential
• Bouncing compact objects. Part II: Effective theory of a pulsating Planck star
• Scalar Perturbations of a Single-Horizon Regular Black Hole
• Kantowski-Sachs Universes sourced by a Skyrme fluid
• Deformed algebra and the effective dynamics of the interior of black holes
• Regular Black Hole Interior Spacetime Supported by Three-Form Field
• Some global, analytical and topological properties of regular black holes
• Polymer quantization of the Einstein-Rosen wormhole throat
• Loop Quantum Gravity motivated multihorizon rotating black holes
• Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors
• Some physical implications of regularization ambiguities in SU(2) gauge-invariant loop quantum cosmology
• Quantum dynamics of the Einstein-Rosen wormhole throat
• Overdamped quasibound states inside a Schwarzschild black hole
• Schrödinger-like quantum dynamics in loop quantized black holes