Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes

Abstract

We study linear scalar perturbations of slowly accelerating Kerr-Newman-anti-de Sitter black holes using the method of isomonodromic deformations. The conformally coupled Klein-Gordon equation separates into two second-order ordinary differential equations with five singularities. Nevertheless, the angular equation can be transformed into a Heun equation, for which we provide an asymptotic expansion for the angular eigenvalues in the small acceleration and rotation limit. In the radial case, we recast the boundary value problem in terms of a set of initial conditions for the isomonodromic tau function of Fuchsian systems with five regular singular points. For the sake of illustration, we compute the quasi-normal modes frequencies.

arXiv comment22 pages, 5 figures, published in JHEP

References in corpus (39)

• Quasinormal modes of black holes and black branes
• Quasinormal modes of black holes: from astrophysics to string theory
• Exact Description of Black Holes on Branes
• Exploring black hole superkicks
• Gravitational signature of Schwarzschild black holes in dynamical Chern-Simons gravity
• Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• Holographic Thermodynamics of Accelerating Black Holes
• Irregular Liouville correlators and connection formulae for Heun functions
• How instanton combinatorics solves Painlevé VI, V and III's
• A massive charged scalar field in the Kerr-Newman background I: quasinormal modes, late-time tails and stability
• Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes
• Accelerating and rotating black holes
• Accelerating black holes: quasinormal modes and late-time tails
• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• Black-hole microstate spectroscopy: ringdown, quasinormal modes, and echoes
• Accelerating Kerr-Newman black holes in (anti-)de Sitter space-time
• Black hole kicks as new gravitational wave observables
• Stability of the Cauchy horizon in accelerating black-hole spacetimes
• Accelerated black holes in an anti-de Sitter universe
• Pair of accelerated black holes in a de Sitter background: the dS C-metric
• Kerr-de Sitter Greybody Factors via Isomonodromy
• Quasinormal modes of a massless charged scalar field on a small Reissner-Nordström-anti-de Sitter black hole
• Superradiant instability of charged massive scalar field in Kerr-Newman-anti-de Sitter black hole
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Scalar quasinormal modes of Kerr-AdS${}_5$
• The Klein-Gordon-Fock equation in the curved spacetime of the Kerr-Newman (anti) de Sitter black hole
• Confluent conformal blocks and the Teukolsky master equation
• Thermal Stability, P-V Criticality and Heat Engine of Charged Rotating Accelerating Black Holes
• The massive Dirac equation in the Kerr-Newman-de Sitter and Kerr-Newman black hole spacetimes
• Finely Split Phase Transitions of Rotating and Accelerating Black Holes
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Dynamical behavior of the $C$-metric: charged scalar fields, quasinormal modes and superradiance
• The shadows of accelerating Kerr-Newman black hole and constraints from M87*
• Quasinormal modes and stability of boosted Reissner-Nordström AdS black holes
• Massless field perturbations of the spinning C metric
• Scalar/Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents
• On the Existence of Monodromies for the Rabi model
• Quasinormal Modes in Near-Extremal Spinning C-Metric

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