Perturbations of Extremal Kerr Spacetime: Analytic Framework and Late-time Tails
arXiv:1801.05830 · doi:10.1103/PhysRevD.100.124027
Abstract
We develop a complete and systematic analytical approach to field perturbations of extremal Kerr spacetime based on the formalism of Mano, Suzuki and Takasugi (MST) for the Teukolsky equation. Analytical expressions for the radial solutions and frequency-domain Green function in terms of infinite series of special functions are presented. As an application, we compute, for the first time, the leading late-time behavior due to the branch point at zero frequency of scalar, gravitational, and electromagnetic field perturbations on and off the event horizon. We also use the MST method to compute the leading behavior of the Green function modes near the branch point at the superradiant bound frequency and show that this behavior agrees with existing results in the literature using a different method.
arXiv comment34 pages, 1 figure; in v3: version matching the published version
References in corpus (37)
- Analytic black hole perturbation approach to gravitational radiation
- Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
- Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
- Quasinormal-mode spectrum of Kerr black holes and its geometric interpretation
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations II
- Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
- Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
- Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
- Gravitational instability of an extreme Kerr black hole
- Late-time dynamics of rapidly rotating black holes
- Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy
- High-order post-Newtonian contributions to the two-body gravitational interaction potential from analytical gravitational self-force calculations
- Black Hole Scattering from Monodromy
- Information, Relative Entropy of Entanglement and Irreversibility
- Radiative Tail of Realistic Rotating Gravitational Collapse
- Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
- Particle on the Innermost Stable Circular Orbit of a Rapidly Spinning Black Hole
- Renormalized stress-energy tensor of an evaporating spinning black hole
- New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation II. Solutions of the Continued Fraction Equation
- Quasinormal modes of extremal black holes
- Horizon Instability of Extremal Kerr Black Holes: Nonaxisymmetric Modes and Enhanced Growth Rate
- Gravity Waves from Kerr/CFT
- Analytic Solutions of Teukolsky Equation in Kerr-de Sitter and Kerr-Newman-de Sitter Geometries
- Late time decay of scalar, electromagnetic, and gravitational perturbations outside rotating black holes
- Mode-coupling in rotating gravitational collapse: Gravitational and electromagnetic perturbations
- Self-Force and Green Function in Schwarzschild spacetime via Quasinormal Modes and Branch Cut
- Gravitational waves from plunges into Gargantua
- High-order Tail in Schwarzschild Space-time
- Critical Exponents of Extremal Kerr Perturbations
- Spectroscopy of Extremal (and Near-Extremal) Kerr Black Holes
- Analytic Investigation of the Branch Cut of the Green Function in Schwarzschild Space-time
- The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time
- High-order tail in Kerr spacetime
- Linearized Stability of Extreme Black Holes
- Absorption rate of the Kerr-de Sitter black hole and the Kerr-Newman-de Sitter black hole
- Quantum correlator outside a Schwarzschild black hole
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- Connecting scattering, monodromy, and MST's renormalized angular momentum for the Teukolsky equation in Kerr spacetime
- Complete quasinormal modes of Type-D black holes
- Numerical investigation of the late-time tails of the solutions of the Fackerell-Ipser equation
- Post-Newtonian expansion of fluxes from a scalar charge on an inclined-spherical orbit about a Kerr black hole
- Numerical Evidence for Non-Axisymmetric Gravitational "Hair" for Extremal Kerr Black Hole Spacetimes with Hyperboloidal Foliations
- Quasinormal mode frequencies of Kerr black holes from Regge trajectories