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Extreme mass-ratio inspirals, in which solar-mass compact bodies spiral into supermassive black holes, are an important potential source for gravitational wave detectors.
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W.L. Burke · 1971
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Gravitation
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Robert M. Wald · 1973
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Asymptotic Analysis of Singular Perturbations
Wiktor Eckhaus · 1979
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Ronald E. Kates · 1980
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Radiation reaction in the kerr gravitational field
D.V. Gal’tsov · 1982
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Variational Principles and Free-Boundary Problems
Avner Friedman · 1982
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Green’s Functions
G. F. Roach · 1982
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Newtonian and post-newtonian approximations are asymptotic to general relativity
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The Mathematical Theory of Black Holes
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Celestial Mechanics: A Computational Guide for the Practitioner
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Point-particle limit and the far-zone quadrupole formula in general relativity
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300 Years of Gravitation
T. Damour · 1987
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Robert Geroch and Jennie Traschen · 1987
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Strong-field point-particle limit and the equations of motion in the binary pulsar
T. Futamase · 1987
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Matched asymptotic expansions
Paco A. Lagerstrom · 1988
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Thibault Damour and Bernd Schmidt · 1990
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Coalescing binary systems of compact objects to (post) 5/2
Craig W. Lincoln and Clifford M. Will · 1990
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Multipole analysis for electromagnetism and linearized gravity with irreducible cartesian tensors
T. Damour and B.R. Iyer · 1991
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On the definition of post-newtonian approximations
A. D. Rendall · 1992
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Coalescing binary systems of compact objects to (post) 5/2
Lawrence E. Kidder, Clifford M. Will, and Alan G. Wiseman · 1993
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Gravitational waves from merging compact binaries: How accurately can one extract the binary’s parameters from the inspiral waveform?
Curt Cutler and Éanna E. Flanagan · 1994
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The newtonian limit for asymptotically flat solutions of the vlasov–einstein system
A.D. Rendall · 1994
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The photon rocket
W.B. Bonnor · 1994
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Photon rockets and gravitational radiation
T. Damour · 1994
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Gravitational radiation reaction for bound motion around a schwarzschild black hole
Curt Cutler, Daniel Kennefick, and Eric Poisson · 1994
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Gravitational perturbations of the Schwarzschild spacetime: A practical covariant and gauge-invariant formalism
Karl Martel and Eric Poisson · 2005
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Gravitational radiation from post-newtonian sources and inspiralling compact binaries
Luc Blanchet · 2006
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Strategies for observing extreme mass ratio inspirals
Steve Drasco · 2006
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Event rate for extreme mass ratio burst signals in the LISA band
Louis J. Rubbo, Kelly Holley-Bockelmann, and Lee Samuel Finn · 2006
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Second-order gravitational self-force
Eran Rosenthal · 2006
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Electromagnetic and gravitational self-force on a relativistic particle from quantum fields in curved space
Chad R. Galley, B. L. Hu, and Shih-Yuin Lin · 2006
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Introduction to perturbation methods
Mark H. Holmes · 1995
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Black holes: gravitational interactions
P.D. D’Eath · 1996
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Does backreaction enforce the averaged null energy condition in semiclassical gravity?
Eanna E. Flanagan and Robert M. Wald · 1996
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Multiple scale and singular perturbation methods
J. Kevorkian and Julian D. Cole · 1996
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Gravitational radiation reaction
Y. Mino, M. Sasaki, and T. Tanaka · 1997
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An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
T.C. Quinn and R.M. Wald · 1997
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On the equation of motion for a fast moving small object using the strong field point particle limit
Takashi Fukumoto, Toshifumi Futamase, and Yousuke Itoh · 2006
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The use of Generalised Functions and Distributions in General Relativity
Roland Steinbauer and James A. Vickers · 2006
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Construction of the second-order gravitational perturbations produced by a compact object
Eran Rosenthal · 2006
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Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
Roland Haas and Eric Poisson · 2006
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Adiabatic expansion for metric perturbation and the condition to solve the gauge problem for gravitational radiation reaction problem
Yasushi Mino · 2006
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Gravitational wave snapshots of generic extreme mass ratio inspirals
S. Drasco and S.A. Hughes · 2006
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The adiabatic evolution of orbital parameters in the Kerr spacetime
Norichika Sago, Takahiro Tanaka, Wataru Hikida, Katsuhiko Ganz, and Hiroyuki Nakano · 2006
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Limitations of two adiabatic approximation schemes in the gravitational self-force problem
A. Pound · 2006
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Self-forces on extended bodies in electrodynamics
Abraham Harte · 2006
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A light-cone gauge for black-hole perturbation theory
Brent Preston and Eric Poisson · 2006
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The post-newtonian approximation for relativistic compact binaries
Toshifumi Futamase and Yousuke Itoh · 2007
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Binary black hole coalescence
Frans Pretorius · 2007
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Astrophysics, detection and science applications of intermediate- and extreme mass-ratio inspirals
Pau Amaro-Seoane et al · 2007
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Radiation reaction in curved space-time: Local method
Dmitri Gal’tsov, Pavel Spirin, and Simona Staub · 2007
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m-Mode Regularization Scheme for the Self Force in Kerr Spacetime
Leor Barack, Darren A. Golbourn, and Norichika Sago · 2007
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Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation
Roland Haas · 2007
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Adiabatic Evolution of three ’Constants’ of Motion for Greatly Inclined Orbits in Kerr spacetime
Katsuhiko Ganz, Wataru Hikida, Hiroyuki Nakano, Norichika Sago, and Takahiro Tanaka · 2007
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Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
Pranesh A. Sundararajan, Gaurav Khanna, and Scott A. Hughes · 2007
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’Kludge’ gravitational waveforms for a test-body orbiting a Kerr black hole
Stanislav Babak, Hua Fang, Jonathan R. Gair, Kostas Glampedakis, and Scott A. Hughes · 2007
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The Newtonian limit for perfect fluids
Todd A. Oliynyk · 2007
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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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Multi-scale analysis of the electromagnetic self-force in a weak gravitational field
Adam Pound and Eric Poisson · 2008
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Equations of Motion in General Relativity of a Small Charged Black Hole
T. Futamase, P. A. Hogan, and Y. Itoh · 2008
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A Rigorous Derivation of Gravitational Self-force
Samuel E. Gralla and Robert M. Wald · 2008
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Self-forces from generalized Killing fields
Abraham I. Harte · 2008
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Nonrotating black hole in a post-Newtonian tidal environment
Stephanne Taylor and Eric Poisson · 2008
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Two-timescale adiabatic expansion of a scalar field model
Yasushi Mino and Richard Price · 2008
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Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
Tanja Hinderer and Eanna E. Flanagan · 2008
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The transition from adiabatic inspiral to geodesic plunge for a compact object around a massive Kerr black hole: Generic orbits
Pranesh A. Sundararajan · 2008
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Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
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Regularization of fields for self-force problems in curved spacetime: foundations and a time-domain application
Ian Vega and Steven Detweiler · 2008
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Gravitational waves from merging compact binaries
Scott A. Hughes · 2009
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Self-force on extreme mass ratio inspirals via curved spacetime effective field theory
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Effective stress-energy tensors, self-force, and broken symmetry
Abraham I. Harte · 2009
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Electromagnetic self-forces and generalized Killing fields
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Regular second order perturbations of binary black holes: The extreme mass ratio regime
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Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
Alessandra Buonanno, Bala Iyer, Evan Ochsner, Yi Pan, and B. S. Sathyaprakash · 2009
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Influence of conservative corrections on parameter estimation for EMRIs
E. A. Huerta and Jonathan R. Gair · 2009
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Existence of families of spacetimes with a Newtonian limit
Todd A. Oliynyk and Bernd Schmidt · 2009
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Post-Newtonian expansions for perfect fluids
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The fast Newtonian limit for perfect fluids
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Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
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Relativistic theory of tidal Love numbers
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Relativistic tidal properties of neutron stars
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A Rigorous Derivation of Electromagnetic Self-force
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New analytical methods for gravitational radiation and reaction in binaries with arbitrary mass ratio and relative velocity
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