The origin of the Reissner-Nordström de Sitter instability

Abstract

We give strong numerical evidence for the existence of an instability afflicting six-dimensional Reissner-Nordström de Sitter (RNdS) black holes. This instability is akin of the Konoplya-Zhidenko instability present in RNdS black holes in seven spacetime dimensions and above. Moreover, we perform a detailed analysis of the near-horizon limit of extremal RNdS black holes, and find that unstable gravitational modes effectively behave as a massive scalar field whose mass violates the AdS${}_2$ Breitenlöhner-Freedman bound (if and only if $d\ge 6$), thus providing a physical argument for the existence of the instability. Finally, we show that the frequency spectrum of perturbations of RNdS has a remarkable intricate structure with several bifurcations/mergers that appears unique to RNdS black holes

arXiv comment24 pages, 17 figures

References in corpus (19)

• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• Quasinormal modes and Strong Cosmic Censorship
• Numerical Methods for Finding Stationary Gravitational Solutions
• Instability of higher dimensional charged black holes in the de-Sitter world
• Strong cosmic censorship in de Sitter space
• Strong cosmic censorship: taking the rough with the smooth
• Strong cosmic censorship for charged de Sitter black holes with a charged scalar field
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Instability of D-dimensional extremally charged Reissner-Nordstrom(-de Sitter) black holes: Extrapolation to arbitrary D
• Strong Cosmic Censorship in higher-dimensional Reissner-Nordström-de Sitter spacetime
• The BTZ black hole violates strong cosmic censorship
• Strong cosmic censorship in charged black-hole spacetimes: As strong as ever
• Rough initial data and the strength of the blue-shift instability on cosmological black holes with $\Lambda >0$
• On the instability of Reissner-Nordstrom black holes in de Sitter backgrounds
• Instability of de Sitter Reissner-Nordstrom black hole in the 1/D expansion
• On the occurrence of mass inflation for the Einstein-Maxwell-scalar field system with a cosmological constant and an exponential Price law
• Instabilities of extremal rotating black holes in higher dimensions
• Charged Particle and Strong Cosmic Censorship in Reissner-Nordström-de Sitter Black Holes
• Strong cosmic censorship in de Sitter space: As strong as ever

Cited by in corpus (8)

• Black holes in Starobinsky-Bel-Robinson Gravity and the breakdown of quasinormal modes/null geodesics correspondence
• Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole
• Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study
• Strong Cosmic Censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
• Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime
• Instability in charged Gauss-Bonnet-de Sitter black holes
• Quasinormal-mode analysis of a massive scalar field in a Schwarzschild background via the spectral method
• Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies