Reissner-Nordström black holes in de Sitter space-time: bounds with quasinormal frequencies

Abstract

Rich physics can be divined from charged black holes subjected to extremal conditions. When applied in conjunction with principles like Weak Cosmic Censorship, this naturally leads to constraints on the mass and charge of the black hole. However, more nuanced principles such as the Weak Gravity Conjecture (WGC) and the recently proposed Festina-Lente (FL) bound can provide, respectively, upper and lower bounds on elementary charged particles. In this study, we examine the quasinormal modes (QNMs) exhibited by a massive scalar test field carrying an electric charge, oscillating in the outer region of the black hole. These modes are subjected to the constraints imposed by the FL and WGC bounds. Our analysis provides insight into the behaviour of QNMs, particularly in regions that approach the extremal conditions of the black hole. Notably, in these regimes, the stability of the modes becomes precarious, particularly in the presence of a positive cosmological constant. The implications of our findings are far-reaching and significant. They extend from safeguarding the principles of cosmic censorship to addressing the structural stability of the black hole's interior. Our semi-classical analysis presents compelling evidence suggesting that Strong Cosmic Censorship may be violated for black holes that are in close proximity to extremality within the context of Reissner-Nordström-de Sitter (RNdS) geometries.

39 pages, 10 figures

References in corpus (26)

• The Confrontation between General Relativity and Experiment
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• The String Landscape and the Swampland
• Gravitational wave searches for ultralight bosons with LIGO and LISA
• Quasinormal modes and Strong Cosmic Censorship
• Stochastic and resolvable gravitational waves from ultralight bosons
• Observational Black Hole Spectroscopy: A time-domain multimode analysis of GW150914
• Quasi-Normal Modes and Gravitational Wave Astronomy
• An instability of higher-dimensional rotating black holes
• The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit
• Instability of higher dimensional charged black holes in the de-Sitter world
• Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
• Charged scalar field instability between the event and cosmological horizons
• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• Entropy of Reissner-Nordström-de Sitter black hole
• Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-Pöschl-Teller potential
• Anomalous decay rate of quasinormal modes
• Black hole evaporation in de Sitter space
• Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution
• How general is the strong cosmic censorship bound for quasinormal modes?
• Obstacles to Constructing de Sitter Space in String Theory
• The origin of the Reissner-Nordström de Sitter instability
• Dilatonic (Anti-)de Sitter Black Holes and Weak Gravity Conjecture
• Phenomenological implications on a hidden sector from the Festina Lente bound
• Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
• Quasinormal modes for integer and half-integer spins within the large angular momentum limit