Black Hole Perturbation

Abstract

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to calculate higher order post-Newtonian corrections to the gravitational waves emitted by an orbiting particle. As applications of this method, we consider orbits that are nearly circular, including exactly circular ones, slightly eccentric ones and slightly inclined orbits off the equatorial plane of a Kerr black hole and give the energy flux and angular momentum flux formulas at infinity with higher order post-Newtonian corrections. Using a different method that makes use of an analytic series representation of the solution of the Teukolsky equation, we also give a post-Newtonian expanded formula for the energy flux absorbed by a Kerr black hole for a circular orbit.

120 pages ptptex file. To appear in Progress of Theoretical Physics Supplement No.128 (1997) `Perturbative and Numerical Approaches to Gravitational Radiation'

Cited by in corpus (106)

• The Confrontation between General Relativity and Experiment
• Quasinormal modes of black holes and black branes
• The Confrontation between General Relativity and Experiment
• The Confrontation between General Relativity and Experiment
• Analytic black hole perturbation approach to gravitational radiation
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
• Gravitational Waves from a Compact Star in a Circular, Inspiral Orbit, in the Equatorial Plane of a Massive, Spinning Black Hole, as Observed by LISA
• Post-Newtonian Gravitational Radiation and Equations of Motion via Direct Integration of the Relaxed Einstein Equations. I. Foundations
• Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
• Circumbinary MHD Accretion into Inspiraling Binary Black Holes
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• The Transition from Inspiral to Plunge for a Compact Body in a Circular Equatorial Orbit Around a Massive, Spinning Black Hole
• Gravitational waves from inspiralling compact binaries: Energy flux to third post-Newtonian order
• Tidal Deformation and Dissipation of Rotating Black Holes
• Gravitational Waves from Quasicircular Extreme Mass-Ratio Inspirals as Probes of Scalar-Tensor Theories
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Approximating the inspiral of test bodies into Kerr black holes
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Accurate and efficient waveforms for compact binaries on eccentric orbits
• Improved approximate inspirals of test-bodies into Kerr black holes
• Multipolar equations of motion for extended test bodies in General Relativity
• Gravitational energy loss in high energy particle collisions: ultrarelativistic plunge into a multidimensional black hole
• Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
• Modeling Extreme Mass Ratio Inspirals within the Effective-One-Body Approach
• The Science of the Einstein Telescope
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Small mass plunging into a Kerr black hole: Anatomy of the inspiral-merger-ringdown waveforms
• Second post-Newtonian gravitational wave polarizations for compact binaries in elliptical orbits
• Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole to the 11th Post-Newtonian Order
• Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
• Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
• Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
• Accuracy of the Post-Newtonian Approximation: Optimal Asymptotic Expansion for Quasi-Circular, Extreme-Mass Ratio Inspirals
• The Darboux transformation in black hole perturbation theory
• Equation of motion for relativistic compact binaries with the strong field point particle limit : Formulation, the first post-Newtonian and multipole terms
• Gravitational-wave signatures of the absence of an event horizon. II. Extreme mass ratio inspirals in the spacetime of a thin-shell gravastar
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• Template banks to search for low-mass binary black holes in advanced gravitational-wave detectors
• Gravitational quasinormal modes for Kerr Anti-de Sitter black holes
• Gravitational Radiations from a Spinning Compact Object around a supermassive Kerr black hole in circular orbit
• Gravitational waves from merging compact binaries
• Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
• Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
• Tidal Interaction between a Fluid Star and a Kerr Black Hole in Circular Orbit
• Calculation of radiation reaction effect on orbital parameters in Kerr spacetime
• Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
• Importance of including small body spin effects in the modelling of extreme and intermediate mass-ratio inspirals
• Gravitational tuning forks and hierarchical triple systems
• Eikonal quasinormal modes of black holes beyond general relativity II: generalised scalar-tensor perturbations
• Extreme-mass-ratio inspirals into rotating boson stars: nonintegrability, chaos, and transient resonances
• Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order
• Stability under radiation reaction of circular equatorial orbits around Kerr black holes
• Non-precessional spin-orbit effects on gravitational waves from inspiraling compact binaries to second post-Newtonian order
• Gravitational Radiation from Plunging Orbits - Perturbative Study -
• New Kludge Scheme for the Construction of Approximate Waveforms for Extreme-Mass-Ratio Inspirals
• Computation of gravitational waves from inspiraling binary neutron stars in quasiequilibrium circular orbits : Formulation and calibration
• Hereditary Effects in Eccentric Compact Binary Inspirals to Third Post-Newtonian Order
• Intermediate-mass-ratio-inspirals in the Einstein Telescope: I. Signal-to-noise ratio calculations
• Gravitational Waveforms for Precessing, Quasicircular Compact Binaries with Multiple Scale Analysis: Small Spin Expansion
• Gauge Problem in the Gravitational Self-Force II. First Post Newtonian Force under Regge-Wheeler Gauge
• Post-ISCO Ringdown Amplitudes in Extreme Mass Ratio Inspiral
• Importance of including small body spin effects in the modelling of intermediate mass-ratio inspirals. II Accurate parameter extraction of strong sources using higher-order spin effects
• Accuracy of the post-Newtonian approximation. II. Optimal asymptotic expansion of the energy flux for quasicircular, extreme mass-ratio inspirals into a Kerr black hole
• Complete set of quasi-conserved quantities for spinning particles around Kerr
• Quasinormal modes as a distinguisher between general relativity and f(R) gravity: Charged black-holes
• Eccentric Binary Black Holes with Spin via the Direct Integration of the Post-Newtonian Equations of Motion
• On the superradiance-tidal friction correspondence
• Self-force Regularization in the Schwarzschild Spacetime
• Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals from Black-hole Perturbation Approach
• Improvement on the metric reconstruction scheme in the Regge-Wheeler-Zerilli formalism
• Extreme mass ratio inspirals: perspectives for their detection
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Two-timescale adiabatic expansion of a scalar field model
• New Generic Ringdown Frequencies at the Birth of a Kerr Black Hole
• Gravitational radiation close to a black hole horizon: Waveform regularization and the out-going echo
• New class of post-Newtonian approximants to the waveform templates of inspiralling compact binaries: Test-mass in the Schwarzschild spacetime
• Influence of mass-ratio corrections in extreme-mass-ratio inspirals for testing general relativity
• Enhancing the significance of gravitational wave bursts through signal classification
• Very extreme mass-ratio bursts in the Galaxy and neighbouring galaxies in relation to space-borne detectors
• Lindblad resonance torques in relativistic discs: II. Computation of resonance strengths
• Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions
• Recipes for computing radiation from a Kerr black hole using a generalized Sasaki-Nakamura formalism: Homogeneous solutions
• Post-Newtonian expansions of extreme mass ratio inspirals of spinning bodies into Schwarzschild black holes
• Quasi-spherical approximation for rotating black holes
• Improved gravitational waveforms from spinning black hole binaries
• Relativistic model of binary extreme-mass-ratio inspiral systems and their gravitational radiation
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• New Chandrasekhar transformation in Kerr spacetime
• Note on Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals: Retrograde Orbits
• Energy flux and waveforms by coalescing spinless binary system in effective one-body theory
• High-order post-Newtonian expansion of the generalized redshift invariant for eccentric-orbit, equatorial extreme-mass-ratio inspirals with a spinning primary
• Gravitational waves from superradiant instabilities of rotating black holes
• Eccentric Pairs: Analytic Gravitational Waves from Binary Black Holes in Elliptic Orbits
• Natural polynomials for Kerr quasi-normal modes
• Gravitational and electromagnetic perturbations of a charged black hole in a general gauge condition
• Modelling the post-Newtonian test-mass gravitational wave flux function for compact binary systems using Chebyshev polynomials
• Gravitational-wave echoes from spinning exotic compact objects: numerical waveforms from the Teukolsky equation
• Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
• Angular Eigenvalues of Higher-Dimensional Kerr-(A)dS Black Holes with Two Rotations
• Master Functions and Equations for Perturbations of Vacuum Spherically-Symmetric Spacetimes
• Resonances, black hole mimickers and the greenhouse effect: consequences for gravitational-wave physics