Instability of the extreme Kerr-Newman black-holes

2013/11/13 by Martín Reiris, Martin Reiris, Reiris, Martin
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Instability #Physics #Quantum mechanics #gr-qc #math.DG

paper · pdf · doi:10.48550/arxiv.1311.3156

25 pages. 6 figures

arxiv created 2013/11/13 · openalex publication_date 2013/11/13 · arxiv updated 2013/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Using black-hole inequalities and the increase of the horizon's areas, we show that there are arbitrarily small electro-vacuum perturbations of the standard initial data of the extreme Reissner-Nordstrom black-hole that, (by contradiction), cannot decay in time into any extreme Kerr-Newman black-hole. This proves the expectation that the family of extreme Kerr-Newman black-holes is unstable. It remains of course to be seen whether the whole family of charged black-holes, including those extremes, is stable or not.

Citations

• Embedded Minimal Surfaces, Exotic Spheres, and Manifolds with Positive Ricci Curvature

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