Stability of the Schwarzschild interior in loop quantum gravity

2008/07/31 by Christian G. Boehmer, Christian G. Böhmer, Kevin Vandersloot · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.78.067501

published as Phys.Rev.D78:067501,2008 · 4 pages, 4 figures; references added, minor modifications

arxiv created 2008/08/14 · openalex publication_date 2008/09/02 · arxiv updated 2009/12/01 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

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.

Citations

• Charged Nariai black holes with a dilaton
• 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
• Polymer quantization of the Einstein-Rosen wormhole throat

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• Loop quantum dynamics of the Schwarzschild interior
• Effective black hole interior and the Raychadhuri equation
• Dynamical evolution and stability of quantum corrected Schwarzschild black holes in semiclassical gravity
• Quantum Riemannian Geometry and Black Holes
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