Kerr-(Anti-)de Sitter Black Holes: Perturbations and quasi-normal modes in the slow rotation limit

Abstract

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schrödinger style master equations for each type of perturbation up to linear order in black hole spin $a$. For each type of field we calculate analytical expressions for the fundamental quasi-normal mode frequencies. These frequencies are compared to existing results for Schwarzschild-de Sitter, slowly rotating Kerr, and slowly rotating Kerr-de Sitter black holes. In all cases good agreement is found between the analytic expressions and those frequencies calculated numerically. In addition, the axial and polar gravitational frequencies are shown to be isospectral to linear order in $a$ for all cases other than for both non-zero $a$ and $\Lambda$.

Updated to match published version

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Cited by in corpus (19)

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• Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
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• Shadow of slowly rotating Kalb-Ramond black holes
• Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-Pöschl-Teller potential
• The quasi normal modes of growing dirty black holes
• Perturbations of a rotating black hole in DHOST theories
• Forecasts for Low Spin Black Hole Spectroscopy in Horndeski Gravity
• Exact thermal correlators of holographic $CFT$s
• Glimpses of Violation of Strong Cosmic Censorship in Rotating Black Holes
• Quasinormal Modes of C-metric from SCFTs
• Schwarzschild Black Hole Surrounded by Perfect Fluid Dark Matter in the presence of Quintessence Matter Field
• Quasi-Normal Modes of Hairy Scalar Tensor Black Holes: Odd Parity
• Testing the Speed of Gravity with Black Hole Ringdown
• Scale Invariant Gravity and Black Hole Ringdown
• Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
• Analytical proof of the isospectrality of quasinormal modes for Schwarzschild-de Sitter and Schwarzschild-Anti de Sitter spacetimes
• Thermal radiation in curved spacetime using influence functional formalism