Quasi-normal Modes of near-extremal black holes in Generalized spherically symmetric spacetime and Strong Cosmic Censorship Conjecture

Abstract

A number of near-extremal conditions are utilized to simplify the equation of motion of the neutral scalar perturbations in generalized spherically symmetric black hole background into a differential equation with the Pöschl-Teller potential. An analytic formula for quasinormal frequencies is obtained. The analytic formula is then used to investigate Strong Cosmic Censorship conjectures~(SCC) of the generalized black hole spacetime for the smooth initial data. The Christodoulou version of the SCC is found to be violated for certain regions of the black hole parameter space including the black holes in General Relativity while the $C^1$ version of the SCC is always valid.

39 pages, 9 figures, to appear in EPJC. arXiv admin note: Sections of this work were previously part of arXiv:1911.11448 which is being split

References in corpus (15)

• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Resummation of Massive Gravity
• Quasinormal modes and Strong Cosmic Censorship
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• Destroying extremal Kerr-Newman black holes with test particles
• Destroying a near-extremal Kerr-Newman black hole
• Bounding the speed of gravity with gravitational wave observations
• Overspinning a nearly extreme black hole and the Weak Cosmic Censorship conjecture
• Charged scalar perturbations on charged black holes in dRGT massive gravity
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Near-extremal black holes in Weyl gravity: Quasinormal modes and geodesic instability
• Near-horizon quasinormal modes of charged scalar around a general spherically symmetric black hole
• The Formation of Black Holes in General Relativity

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• Thermodynamics of Asymptotically de-Sitter Black Hole in dRGT Massive Gravity from Rényi entropy
• A Survey of Strong Cosmic Censorship Conjecture Beyond Einstein's Gravity
• The extremal Reissner-Nordström black holes: an exact charged scalar quasiresonance
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• Strong cosmic censorship in near-extremal Kerr-Sen-de Sitter spacetime
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Thermodynamics of the Weyl Geometric Gravity Black Holes
• Dual CFT on Nariai limit for Kerr-Sen-dS black holes
• Normal and Quasinormal Modes of Holographic Multiquark Star