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Motivated by the need of a robust geometrical framework for the calculation of long, and highly accurate waveforms for extreme-mass-ratio inspirals, this work presents an extensive study of the hyperboloidal formalism for the Kerr spacetime and the Teukolsky equation.
Asymptotic properties of fields and space-times
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Note on the kerr spinning‐particle metric
E. T. Newman and A. I. Janis · 1965
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Spin‐s spherical harmonics and eth
J. N. Goldberg, A. J. Macfarlane, E. T. Newman, F. Rohrlich, and E. C. G. Sudarshan · 1967
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Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations
Saul A. Teukolsky · 1972
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The large scale structure of space-time
S. W. Hawking and G. F. R. Ellis · 1973
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Perturbations of a rotating black hole. 1. Fundamental equations for gravitational electromagnetic and neutrino field perturbations
Saul A. Teukolsky · 1973
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An analytic representation for the quasi-normal modes of Kerr black holes
E.W. Leaver · 1985
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Quasinormal modes of Reissner-Nordström black holes
Edward W. Leaver · 1990
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On relativistic stellar oscillations
B. Schmidt · 1993
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Quasinormal modes: The characteristic “sound” of black holes and neutron stars
H.-P. Nollert · 1999
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The Extreme Kerr throat geometry: A Vacuum analog of AdS(2) x S**2
James M. Bardeen and Gary T. Horowitz · 1999
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A Scheme to numerically evolve data for the conformal Einstein equation
Peter Hubner · 1999
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Conformal infinity
Jörg Frauendiener · 2000
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Workshop on Mathematical Issues in Numerical Relativity, ITP Santa Barbaras
Vincent Moncrief · 2000
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The Conformal Structure of Space-Time
J. Frauendiener and H. Friedrich, editors · 2002
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Numerical evolution of axisymmetric, isolated systems in general relativity
Jörg Frauendiener and Matthias Hein · 2002
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Perspective on gravitational self-force analyses
Steven L. Detweiler · 2005
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Regularization of second-order scalar perturbation produced by a point-particle with a nonlinear coupling
Eran Rosenthal · 2005
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Regularization of the second-order gravitational perturbations produced by a compact object
Eran Rosenthal · 2005
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Construction of the second-order gravitational perturbations produced by a compact object
Eran Rosenthal · 2006
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Second-order gravitational self-force
Eran Rosenthal · 2006
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Asymptotically null slices in numerical relativity: Mathematical analysis and spherical wave equation tests
Gioel Calabrese, Carsten Gundlach, and David Hilditch · 2006
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Astrophysics, detection and science applications of intermediate- and extreme mass-ratio inspirals
Pau Amaro-Seoane, Jonathan R. Gair, Marc Freitag, M. Coleman Miller, Ilya Mandel, Curt J. Cutler, and Stanislav Babak · 2007
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A Hyperboloidal study of tail decay rates for scalar and Yang-Mills fields
Anil Zenginoglu · 2008
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Hyperboloidal foliations and scri-fixing
Anil Zenginoglu · 2008
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Gravitational self force in extreme mass-ratio inspirals
Leor Barack · 2009
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Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
Anil Zenginoglu, Dario Nunez, and Sascha Husa · 2009
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Spacelike matching to null infinity
Anil Zenginoglu and Manuel Tiglio · 2009
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Extremal limits and black hole entropy
Sean M. Carroll, Matthew C. Johnson, and Lisa Randall · 2009
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On an Expansion Method for Black Hole Quasinormal Modes and Regge Poles
Sam R. Dolan and Adrian C. Ottewill · 2009
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The general spherically symmetric constant mean curvature foliations of the Schwarzschild solution
Edward Malec and Niall O’Murchadha · 2009
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Asymptotics of black hole perturbations
Anil Zenginoglu · 2010
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Saddle-point dynamics of a Yang-Mills field on the exterior Schwarzschild spacetime
Piotr Bizon, Andrzej Rostworowski, and Anil Zenginoglu · 2010
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Hyperboloidal evolution of test fields in three spatial dimensions
Anil Zenginoglu and Lawrence E. Kidder · 2010
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The Quasinormal Mode Spectrum of a Kerr Black Hole in the Eikonal Limit
Sam R. Dolan · 2010
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An Axisymmetric evolution code for the Einstein equations on hyperboloidal slices
Oliver Rinne · 2010
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The Motion of point particles in curved spacetime
Eric Poisson, Adam Pound, and Ian Vega · 2011
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A Geometric framework for black hole perturbations
Anil Zenginoglu · 2011
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Hyperboloidal layers for hyperbolic equations on unbounded domains
Anil Zenginoglu · 2011
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Numerical investigation of the late-time Kerr tails
Istvan Racz and Gabor Zsolt Toth · 2011
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Initial data for perturbed Kerr black holes on hyperboloidal slices
David Schinkel, Marcus Ansorg, and Rodrigo Panosso Macedo · 2014
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Testing General Relativity with Present and Future Astrophysical Observations
Emanuele Berti et al · 2015
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Self-force: Computational Strategies
Barry Wardell and Achamveedu Gopakumar · 2015
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Motion of small objects in curved spacetimes: An introduction to gravitational self-force
Adam Pound · 2015
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Second-order perturbation theory: problems on large scales
Adam Pound · 2015
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Spherical symmetry as a test case for unconstrained hyperboloidal evolution
Alex Vaño Viñuales, Sascha Husa, and David Hilditch · 2015
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Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
Sebastiano Bernuzzi, Alessandro Nagar, and Anil Zenginoglu · 2011
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Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
Anil Zenginoglu and Gaurav Khanna · 2011
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Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
Sebastiano Bernuzzi, Alessandro Nagar, and Anil Zenginoglu · 2011
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Tetrad formalism for numerical relativity on conformally compactified constant mean curvature hypersurfaces
James M. Bardeen, Olivier Sarbach, and Luisa T. Buchman · 2011
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Palatini f ( R ) f(R) Black Holes in Nonlinear Electrodynamics
Gonzalo J. Olmo and D. Rubiera-Garcia · 2011
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Self force via m m -mode regularization and 2+1D evolution: II. Scalar-field implementation on Kerr spacetime
Sam R. Dolan, Leor Barack, and Barry Wardell · 2011
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Black hole solution and strong gravitational lensing in Eddington-inspired Born–Infeld gravity
Shao-Wen Wei, Ke Yang, and Yu-Xiao Liu · 2015
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Conformal Methods in General Relativity
Juan A. Valiente Kroon · 2016
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Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
Enno Harms, Georgios Lukes-Gerakopoulos, Sebastiano Bernuzzi, and Alessandro Nagar · 2016
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Spinning test body orbiting around a Schwarzschild black hole: Circular dynamics and gravitational-wave fluxes
Enno Harms, Georgios Lukes-Gerakopoulos, Sebastiano Bernuzzi, and Alessandro Nagar · 2016
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Spectral decomposition of black-hole perturbations on hyperboloidal slices
Marcus Ansorg and Rodrigo Panosso Macedo · 2016
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Quasinormal modes of extremal black holes
Maurício Richartz · 2016
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Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
Georgios Lukes-Gerakopoulos, Enno Harms, Sebastiano Bernuzzi, and Alessandro Nagar · 2017
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Scalar self-force for highly eccentric equatorial orbits in Kerr spacetime
Jonathan Thornburg and Barry Wardell · 2017
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Evolution of scalar fields surrounding black holes on compactified constant mean curvature hypersurfaces
Manuel D. Morales and Olivier Sarbach · 2017
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Detecting Lorentz Violations with Gravitational Waves from Black Hole Binaries
Thomas P. Sotiriou · 2018
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Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (I) Inspiral-Merger
Emanuele Berti, Kent Yagi, and Nicolás Yunes · 2018
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Extreme Gravity Tests with Gravitational Waves from Compact Binary Coalescences: (II) Ringdown
Emanuele Berti, Kent Yagi, Huan Yang, and Nicolás Yunes · 2018
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The evolution of hyperboloidal data with the dual foliation formalism: Mathematical analysis and wave equation tests
David Hilditch, Enno Harms, Marcus Bugner, Hannes Rüter, and Bernd Brügmann · 2018
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Private communication
Anil Zenginoglu · 2018
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Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström case
Rodrigo Panosso Macedo, José Luis Jaramillo, and Marcus Ansorg · 2018
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Spherical symmetry as a test case for unconstrained hyperboloidal evolution II: gauge conditions
Alex Vaño Viñuales and Sascha Husa · 2018
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Quasinormal modes of massless scalar fields for charged black holes in the Palatini-type gravity
Che-Yu Chen and Pisin Chen · 2018
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GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
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