A geometric framework for black hole perturbations

Abstract

Black hole perturbation theory is typically studied on time surfaces that extend between the bifurcation sphere and spatial infinity. From a physical point of view, however, it may be favorable to employ time surfaces that extend between the future event horizon and future null infinity. This framework resolves problems regarding the representation of quasinormal mode eigenfunctions and the construction of short-ranged potentials for the perturbation equations in frequency domain.

4 pages, 1 figure

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Cited by in corpus (68)

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• Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
• Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
• Spectral decomposition of black-hole perturbations on hyperboloidal slices
• Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
• An approach to computing spectral shifts for black holes beyond Kerr
• Perturbing the perturbed: Stability of quasinormal modes in presence of a positive cosmological constant
• Numerical solution of the 2+1 Teukolsky equation on a hyperboloidal and horizon penetrating foliation of Kerr and application to late-time decays
• Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
• Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
• Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström case
• Numerical investigation of the late-time Kerr tails
• Hyperboloidal framework for the Kerr spacetime
• Pseudospectrum and binary black hole merger transients
• Second-order perturbation theory: problems on large scales
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• Pseudospectra of Holographic Quasinormal Modes
• Conserved currents for Kerr and orthogonality of quasinormal modes
• Challenges in Quasinormal Mode Extraction: Perspectives from Numerical solutions to the Teukolsky Equation
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• Summation by Parts and Truncation Error Matching on Hyperboloidal Slices
• Gravitational memory: new results from post-Newtonian and self-force theory
• Dynamical quasinormal mode excitation
• Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications
• Recipes for computing radiation from a Kerr black hole using a generalized Sasaki-Nakamura formalism: Homogeneous solutions
• Probing the Unstable Spectrum of Schwarzschild-like Black Holes
• Multi-domain spectral method for self-force calculations
• Kerr Black Holes and Nonlinear Radiation Memory
• The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework
• Quadratic Mode Couplings in Rotating Black Holes and Their Detectability
• Integrability in Perturbed Black Holes: Background Hidden Structures
• Pseudospectrum and time-domain analysis of the EFT corrected black holes
• Post-adiabatic waveforms from extreme mass ratio inspirals in the presence of dark matter
• Spectral instability of horizonless compact objects within astrophysical environments
• Hyperboloidal Method for Quasinormal Modes of Non-Relativistic Operators
• The ďAlembert solution in hyperboloidal foliations
• QNM families: classification and competition
• Pseudospectrum of Reissner-Nordström black holes: quasinormal mode instability and universality
• Nonlinear Evolution of unstable Charged de Sitter Black Holes with Hyperboloidal Formalism
• Hyperboloidal approach for linear and non-linear wave equations in FLRW spacetimes
• Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit
• Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes
• On Challenges to Separability of the Dirac Equation in Kerr Geometry under Compact Hyperboloidal Coordinates
• Pseudospectrum and (in)stability of black hole total transmission modes
• Hyperboloidal method for frequency-domain self-force calculations
• Adiabatic evolution due to the conservative scalar self-force during orbital resonances