Instability of Reissner-Nordström black holes in de Sitter backgrounds

2009/12/30 by Vitor Cardoso, Vítor Cardoso, Madalena Lemos +2 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Computer science #Cosmology and Gravitation Theories #De Sitter universe #Instability #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Schwarzschild radius #Spacetime #Universe #de Sitter–Schwarzschild metric #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.80.127502

published as Phys.Rev.D80:127502,2009 · Published in Phys.Rev.D

arxiv created 2009/12/30 · openalex publication_date 2009/12/30 · arxiv updated 2010/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Recent numerical investigations have uncovered a surprising result: Reissner-Nordstr"om-de Sitter black holes are unstable for spacetime dimensions larger than 6. Here we prove the existence of such instability analytically, and we compute the time scale in the near-extremal limit. We find very good agreement with the previous numerical results. Our results may be helpful in shedding some light on the nature of the instability.

Citations

• Black strings andp-branes are unstable
• Quasinormal modes of black holes and black branes
• Instabilities of black strings and branes
• Classical instability of Kerr-AdS black holes and the issue of final state

Cited by

• A simple test for the stability of a black hole by S -deformation
• Stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
• Stability of the warped black string with nontrivial topology in five-dimensional anti–de Sitter spacetime

Related

• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• The instability of anti-de Sitter space-time
• Dynamical behavior of black-hole spacetimes
• Exponentially-growing Mode Instability on Reissner-Nordström--Anti-de-Sitter black holes
• Instability of charged black holes in anti-de Sitter space