Asymptotics of Schwarzschild black hole perturbations
arXiv:0911.2450 · doi:10.1088/0264-9381/27/4/045015
Abstract
We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge-Wheeler-Zerilli equations in time domain using hyperboloidal surfaces and a compactifying radial coordinate. We stress the importance of including the asymptotic region in the computational domain in studies of gravitational radiation. The hyperboloidal approach should be helpful in a wide range of applications employing black hole perturbation theory.
9 pages, 8 figures; changed title, updated references, matches the published version
References in corpus (30)
- Hyperboloidal foliations and scri-fixing
- Unambiguous determination of gravitational waveforms from binary black hole mergers
- Extrapolating gravitational-wave data from numerical simulations
- Testing outer boundary treatments for the Einstein equations
- A complete gauge-invariant formalism for arbitrary second-order perturbations of a Schwarzschild black hole
- Hyperboloidal evolution with the Einstein equations
- Hyperboloidal Einstein-matter evolution and tails for scalar and Yang-Mills fields
- An axisymmetric evolution code for the Einstein equations on hyperboloidal slices
- Second and higher-order perturbations of a spherical spacetime
- Regularity of the Einstein Equations at Future Null Infinity
- On the instability of charged wormholes supported by a ghost scalar field
- Spacelike matching to null infinity
- Implementation of higher-order absorbing boundary conditions for the Einstein equations
- Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
- Improved outer boundary conditions for Einstein's field equations
- Towards absorbing outer boundaries in General Relativity
- An Efficient Pseudospectral Method for the Computation of the Self-force on a Charged Particle: Circular Geodesics around a Schwarzschild Black Hole
- Self-force with (3+1) codes: a primer for numerical relativists
- A hyperboloidal study of tail decay rates for scalar and Yang-Mills fields
- On asymptotic stability of the Skyrmion
- Black hole initial data on hyperboloidal slices
- Initial boundary value problems for Einstein's field equations and geometric uniqueness
- Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
- Numerical investigation of highly excited magnetic monopoles in SU(2) Yang-Mills-Higgs theory
- The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution
- Computational Efficiency of Frequency-- and Time--Domain Calculations of Extreme Mass--Ratio Binaries: Equatorial Orbits
- Stationary hyperboloidal slicings with evolved gauge conditions
- Excising das All: Evolving Maxwell waves beyond scri
- Numerical Relativity and Asymptotic Flatness
- Estimating total momentum at finite distances
Cited by in corpus (38)
- Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
- Continuum and Discrete Initial-Boundary-Value Problems and Einstein's Field Equations
- A geometric framework for black hole perturbations
- A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
- Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
- 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
- Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
- Hyperboloidal layers for hyperbolic equations on unbounded domains
- Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström case
- Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
- Hyperboloidal framework for the Kerr spacetime
- Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
- Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics
- Intermediate-mass-ratio black hole binaries II: Modeling Trajectories and Gravitational Waveforms
- Object picture of scalar field perturbation on Kerr black hole in scalar-Einstein-Gauss-Bonnet theory
- Inspiral-inherited ringdown tails
- Hyperboloidal Approach to Quasinormal Modes
- Hyperboloidal evolution of test fields in three spatial dimensions
- A GPU-accelerated mixed-precision WENO method for extremal black hole and gravitational wave physics computations
- Persistent junk solutions in time-domain modeling of extreme mass ratio binaries
- Saddle-point dynamics of a Yang-Mills field on the exterior Schwarzschild spacetime
- Gravitational recoil in nonspinning black hole binaries: the span of test-mass results
- Phenomenology and origin of late-time tails in eccentric binary black hole mergers
- Evolution of a mass-less test scalar field on Boson Stars space-times
- Scalar Fields in Black Hole Spacetimes
- Late-time tails in nonlinear evolutions of merging black holes
- Hyperboloidal slices for the wave equation of Kerr-Schild metrics and numerical applications
- On the universality of late-time ringdown tail
- Fast evaluation of asymptotic waveforms from gravitational perturbations
- Free fall and self-force: an historical perspective
- Indirect (source-free) integration method. I. Wave-forms from geodesic generic orbits of EMRIs
- Superconvergent Discontinuous Galerkin Method for the Scalar Teukolsky Equation on Hyperboloidal Domains: Efficient Waveform and Self-Force Computation
- Analysis of late-time tails in spin-aligned eccentric binary black hole mergers
- Numerical solution of the wave equation on particular space-times using CMC slices and scri-fixing conformal compactification
- Numerical computation of electromagnetically sourced nonlinear tails
- Conformal compactification and affine-null metric formulation of the Einstein equations
- Hyperboloidal method for frequency-domain self-force calculations