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Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves.
Spinning Test-Particles in General Relativity. I
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Motoyuki Saijo, Kei-ichi Maeda, Masaru Shibata, and Yasushi Mino · 1998
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Shingo Suzuki and Kei-Ichi Maeda · 1998
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A. Buonanno and T. Damour · 1999
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Spinning test particles in a Kerr field - I
O. Semerák · 1999
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Transition from inspiral to plunge in binary black hole coalescences
Alessandra Buonanno and Thibault Damour · 2000
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Gravity Waves, Chaos, and Spinning Compact Binaries
Janna Levin · 2000
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Coalescence of two spinning black holes: An effective one-body approach
Thibault Damour · 2001
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Gravitational Waves from Spinning Compact Binaries
Neil J. Cornish and Janna Levin · 2002
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Celestial mechanics in Kerr spacetime
W. Schmidt · 2002
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Dynamics of spinning test particles in kerr spacetime
Michael D. Hartl · 2003
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Survey of spinning test particle orbits in Kerr spacetime
Michael D. Hartl · 2003
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Perturbative approach to an orbital evolution around a supermassive black hole
Yasushi Mino · 2003
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Towards a formalism for mapping the spacetimes of massive compact objects: Bumpy black holes and their orbits
Nathan A. Collins and Scott A. Hughes · 2004
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G. V. Kraniotis · 2004
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Rotating black hole orbit functionals in the frequency domain
Steve Drasco and Scott A. Hughes · 2004
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Relativistic motion of spinning particles in a gravitational field
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Mapping spacetimes with LISA: inspiral of a test body in a ’quasi-Kerr’ field
Kostas Glampedakis and Stanislav Babak · 2006
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Dynamics of extended spinning masses in a gravitational field
Bahram Mashhoon and Dinesh Singh · 2006
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Chaos and order in models of black hole pairs
Janna Levin · 2006
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Tidal dynamics in kerr spacetime
C Chicone and B Mashhoon · 2006
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Using LISA extreme-mass-ratio inspiral sources to test off-Kerr deviations in the geometry of massive black holes
Leor Barack and Curt Cutler · 2007
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Spinning test particles in a Kerr field - II
K. Kyrian and O. Semerák · 2007
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Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
Thibault Damour, Piotr Jaranowski, and Gerhard Schäfer · 2008
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Perturbation method for classical spinning particle motion. i. kerr space-time
Dinesh Singh · 2008
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An analytic perturbation approach for classical spinning particle dynamics
Dinesh Singh · 2008
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Geodesic equation in schwarzschild-(anti-)de sitter space-times: Analytical solutions and applications
Eva Hackmann and Claus Lämmerzahl · 2008
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A periodic table for black hole orbits
Janna Levin and Gabe Perez-Giz · 2008
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Quadrupole effects on the motion of extended bodies in Kerr spacetime
Donato Bini, Pierluigi Fortini, Andrea Geralico, and Antonello Ortolan · 2008
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Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
Adam Pound and Eric Poisson · 2008
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Hamiltonian of a spinning test particle in curved spacetime
Enrico Barausse, Etienne Racine, and Alessandra Buonanno · 2009
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Homoclinic orbits around spinning black holes. I. Exact solution for the Kerr separatrix
Janna Levin and Gabe Perez-Giz · 2009
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Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
Ryuichi Fujita and Wataru Hikida · 2009
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Spacetime and orbits of bumpy black holes
Sarah J. Vigeland and Scott A. Hughes · 2010
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Intermediate-mass-ratio black-hole binaries: Numerical relativity meets perturbation theory
Carlos O. Lousto, Hiroyuki Nakano, Yosef Zlochower, and Manuela Campanelli · 2010
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Statistical studies of spinning black-hole binaries
Carlos O. Lousto, Hiroyuki Nakano, Yosef Zlochower, and Manuela Campanelli · 2010
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Improved effective-one-body Hamiltonian for spinning black-hole binaries
Enrico Barausse and Alessandra Buonanno · 2010
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Gravitational radiation from a spinning compact object around a supermassive kerr black hole in circular orbit
Wen-Biao Han · 2010
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Analytical solution of the geodesic equation in kerr-(anti-) de sitter space-times
Eva Hackmann, Claus Lämmerzahl, Valeria Kagramanova, and Jutta Kunz · 2010
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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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Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
Uchupol Ruangsri, Sarah J. Vigeland, and Scott A. Hughes · 2016
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Science with the space-based interferometer lisa. v. extreme mass-ratio inspirals
Stanislav Babak, Jonathan Gair, Alberto Sesana, Enrico Barausse, Carlos F. Sopuerta, Christopher P. L. Berry, Emanuele Berti, Pau Amaro-Seoane, Antoine Petiteau, and Antoine Klein · 2017
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Nonlinear gravitational self-force: Second-order equation of motion
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Myron Mathisson · 2010
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Republication of: New mechanics of material systems
Myron Mathisson · 2010
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Multipolar equations of motion for extended test bodies in general relativity
Jan Steinhoff and Dirk Puetzfeld · 2010
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Observable signatures of extreme mass-ratio inspiral black hole binaries embedded in thin accretion disks
Bence Kocsis, Nicolás Yunes, and Abraham Loeb · 2011
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Periastron Advance in Black-Hole Binaries
Alexandre Le Tiec, Abdul H. Mroué, Leor Barack, Alessandra Buonanno, Harald P. Pfeiffer, Norichika Sago, and Andrea Taracchini · 2011
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Intermediate-mass-ratio black hole binaries. II. Modeling trajectories and gravitational waveforms
Hiroyuki Nakano, Yosef Zlochower, Carlos O. Lousto, and Manuela Campanelli · 2011
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Effective one-body Hamiltonian of two spinning black holes with next-to-next-to-leading order spin-orbit coupling
Alessandro Nagar · 2011
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Adam Pound · 2017
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Evolution of small-mass-ratio binaries with a spinning secondary
Niels Warburton, Thomas Osburn, and Charles. R. Evans · 2017
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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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Spin supplementary conditions for spinning compact binaries
Balázs Mikóczi · 2017
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Time parameterizations and spin supplementary conditions of the Mathisson-Papapetrou-Dixon equations
Georgios Lukes-Gerakopoulos · 2017
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Gyroscope precession along general timelike geodesics in a Kerr black hole spacetime
Donato Bini, Andrea Geralico, and Robert T. Jantzen · 2017
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Probing gas disc physics with LISA: simulations of an intermediate mass ratio inspiral in an accretion disc
A. M. Derdzinski, D. D’Orazio, P. Duffell, Z. Haiman, and A. MacFadyen · 2019
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Tidal resonance in extreme mass-ratio inspirals
Béatrice Bonga, Huan Yang, and Scott A. Hughes · 2019
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Self-force and radiation reaction in general relativity
Leor Barack and Adam Pound · 2019
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Analytic Keplerian-type parametrization for general spinning compact binaries with leading order spin-orbit interactions
Gihyuk Cho and Hyung Mok Lee · 2019
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Spin dynamics of a millisecond pulsar orbiting closely around a massive black hole
Kaye Jiale Li, Kinwah Wu, and Dinesh Singh · 2019
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Resonant orbits for a spinning particle in Kerr spacetime
Sajal Mukherjee and Santanu Tripathy · 2019
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Innermost stable circular orbits of charged spinning test particles
Ming Zhang and Wen-Biao Liu · 2019
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Motion deviation of test body induced by spin and cosmological constant in extreme mass ratio inspiral binary system
Yu-Peng Zhang, Shao-Wen Wei, Pau Amaro-Seoane, Jie Yang, and Yu-Xiao Liu · 2019
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Hamiltonians and canonical coordinates for spinning particles in curved space-time
Vojtěch Witzany, Jan Steinhoff, and Georgios Lukes-Gerakopoulos · 2019
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Hamilton-Jacobi equation for spinning particles near black holes
Vojtěch Witzany · 2019
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Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. III. The spinning test-body terms
Alessandro Nagar, Francesco Messina, Chris Kavanagh, Georgios Lukes-Gerakopoulos, Niels Warburton, Sebastiano Bernuzzi, and Enno Harms · 2019
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Astrophysically relevant bound trajectories around a Kerr black hole
Prerna Rana and A. Mangalam · 2019
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Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
Maarten van de Meent · 2019
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Black hole geodesic parallel transport and the marck reduction procedure
Donato Bini, Andrea Geralico, and Robert T. Jantzen · 2019
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Prospects for fundamental physics with LISA
Enrico Barausse, et al · 2020
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Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
Maarten van de Meent and Harald P. Pfeiffer · 2020
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Surrogate model for gravitational wave signals from comparable and large-mass-ratio black hole binaries
Nur E. M. Rifat, Scott E. Field, Gaurav Khanna, and Vijay Varma · 2020
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The LIGO Scientific Collaboration and the Virgo Collaboration · 2020
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GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
The LIGO Scientific Collaboration and the Virgo Collaboration · 2020
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Fourth post-Newtonian effective-one-body Hamiltonians with generic spins
Mohammed Khalil, Jan Steinhoff, Justin Vines, and Alessandra Buonanno · 2020
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Second-Order Self-Force Calculation of Gravitational Binding Energy in Compact Binaries
Adam Pound, Barry Wardell, Niels Warburton, and Jeremy Miller · 2020
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Endpoint of the up-down instability in precessing binary black holes
Matthew Mould and Davide Gerosa · 2020
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Comparing effective-one-body Hamiltonians for spin-aligned coalescing binaries
Piero Rettegno, Fabio Martinetti, Alessandro Nagar, Donato Bini, Gunnar Riemenschneider, and Thibault Damour · 2020
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Relativistic three-body effects in hierarchical triples
Halston Lim and Carl L. Rodriguez · 2020
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Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
Ondřej Zelenka, Georgios Lukes-Gerakopoulos, Vojtěch Witzany, and Ondřej Kopáček · 2020
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Model independent tests of the Kerr bound with extreme mass ratio inspirals
Gabriel Andres Piovano, Andrea Maselli, and Paolo Pani · 2020
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Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
Gabriel Andres Piovano, Andrea Maselli, and Paolo Pani · 2020
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Dissipation in extreme mass-ratio binaries with a spinning secondary
Sarp Akcay, Sam R. Dolan, Chris Kavanagh, Jordan Moxon, Niels Warburton, and Barry Wardell · 2020
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Location of the last stable orbit in Kerr spacetime
Leo C. Stein and Niels Warburton · 2020
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Black hole perturbation theory and gravitational self-force
Adam Pound and Barry Wardell · 2021
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Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order
Sashwat Tanay, Leo C. Stein, and José T. Gálvez Ghersi · 2021
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Sashwat Tanay, Gihyuk Cho, and Leo C. Stein · 2021
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Spin-induced motion in black hole spacetime
Satish Kumar Saravanan · 2021
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Non-linear effects in EMRI dynamics and their imprints on gravitational waves
Georgios Lukes-Gerakopoulos and Vojtěch Witzany · 2021
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Gabriel Andres Piovano, Richard Brito, Andrea Maselli, and Paolo Pani · 2021
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Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
Viktor Skoupý and Georgios Lukes-Gerakopoulos · 2021
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Self-Force Calculations with a Spinning Secondary
Josh Mathews, Adam Pound, and Barry Wardell · 2021
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Adiabatic waveforms for extreme mass-ratio inspirals via multivoice decomposition in time and frequency
Scott A. Hughes, Niels Warburton, Gaurav Khanna, Alvin J. K. Chua, and Michael L. Katz · 2021
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Iason Timogiannis, Georgios Lukes-Gerakopoulos, and Theocharis A. Apostolatos · 2021
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