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We study in detail the dynamics and stability of marginally trapped surfaces during a binary black hole merger.
1901
Earlier work this paper cites.
1903
Earlier work this paper cites.
1905
Earlier work this paper cites.
1910
Earlier work this paper cites.
Dieter R. Brill and Richard W. Lindquist, “Interaction energy in geometrostatics,” Phys. Rev. 131
1963
Earlier work this paper cites.
C.E. Porter, Statistical Theories of Spectra: Fluctuations : a Collection of Reprints and Original Papers , Perspectives in physics : A series of reprint collections (Acad. Press, 1965)
1965
Earlier work this paper cites.
R Kubo, “The fluctuation-dissipation theorem,” Reports on Progress in Physics 29
1966
Earlier work this paper cites.
Robert P. Geroch, “Multipole moments. II. Curved space,” J. Math. Phys. 11
1970
Earlier work this paper cites.
C.V. Vishveshwara, “Scattering of Gravitational Radiation by a Schwarzschild Black-hole,” Nature 227
1970
Earlier work this paper cites.
S. W. Hawking and J. B. Hartle, “Energy and angular momentum flow into a black hole,” Commun. Math. Phys. 27
1972
Earlier work this paper cites.
R. O. Hansen, “Multipole moments of stationary space-times,” J. Math. Phys. 15
1974
Earlier work this paper cites.
S. Chandrasekhar and Steven L. Detweiler, “The quasi-normal modes of the Schwarzschild black hole,” Proc. Roy. Soc. Lond. A A344
1975
Earlier work this paper cites.
Heinrich P Baltes and Eberhard R Hilf, Spectra of finite systems (BI-Wissenschaftsverlag Mannheim, 1976)
1976
Earlier work this paper cites.
M. Berry, “Semiclassical mechanics of regular and irregular motion,” in Comportement chaotique des systèmes déterministes , Les Houches, session XXXVI, edited by G. Iooss, R. H. G. Helleman, and R. Stora (1981) north-holland ed., pp. 173–271
1981
Earlier work this paper cites.
Oriol Bohigas, Marie-Joya Giannoni, and Charles Schmit, “Spectral fluctuations of classically chaotic quantum systems,” in Quantum chaos and statistical nuclear physics (Springer, 1986) pp. 18–40
1986
Earlier work this paper cites.
R.P.A.C. Newman, “Topology and stability of marginal 2-surfaces,” Class. and Quant. Grav. 4
1987
Earlier work this paper cites.
M.V. Berry, I.C. Percival, and N.O. Weiss, “Quantum chaology,” Proc. Roy. Soc. London A 413
1987
Earlier work this paper cites.
Bruno Eckhardt, “Quantum mechanics of classically non-integrable systems,” Physics Reports 163
1988
Earlier work this paper cites.
Lieb E.H. and Thirring W.E., “Inequalities for the moments of the eigenvalues of the schrodinger hamiltonian and their relation to sobolev inequalities,” in The Stability of Matter: From Atoms to Stars , edited by Thirring W.E. (Springer, Berlin, Heidelberg, 1991) p. 269
1991
Earlier work this paper cites.
S.A. Hayward, “General laws of black hole dynamics,” Phys.Rev. D49
1994
Earlier work this paper cites.
Jonathan Thornburg, “Finding apparent horizons in numerical relativity,” Phys. Rev. D 54
1996
Earlier work this paper cites.
Abhay Ashtekar, Christopher Beetle, and Stephen Fairhurst, “Isolated horizons: A generalization of black hole mechanics,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.
Sean A. Hayward, “Black holes: New horizons,” in Recent developments in theoretical and experimental general relativity, gravitation and relativistic field theories. Proceedings, 9th Marcel Grossmann Meeting, MG’9, Rome, Italy, July 2-8, 2000. Pts. A-C (2000) pp. 568–580, arXiv:gr-qc/0008071 [gr-qc]
2000
Earlier work this paper cites.
Deirdre M. Shoemaker, Mijan F. Huq, and Richard A. Matzner, “Generic Tracking of Multiple Apparent Horizons with Level Flow,” Phys. Rev. D62
2000
Earlier work this paper cites.
Jerzy Lewandowski, “Spacetimes Admitting Isolated Horizons,” Class. Quant. Grav. 17
2000
Earlier work this paper cites.
Abhay Ashtekar, Christopher Beetle, and Jerzy Lewandowski, “Mechanics of Rotating Isolated Horizons,” Phys. Rev. D64
2001
Earlier work this paper cites.
Ivan S. Booth, “Metric-based Hamiltonians, null boundaries, and isolated horizons,” Class. Quant. Grav. 18
2001
Cited alongside, same era.
Abhay Ashtekar and Badri Krishnan, “Dynamical horizons: Energy, angular momentum, fluxes and balance laws,” Phys. Rev. Lett. 89
2002
Cited alongside, same era.
Abhay Ashtekar, Christopher Beetle, and Jerzy Lewandowski, “Geometry of Generic Isolated Horizons,” Class. Quant. Grav. 19
2002
Cited alongside, same era.
Abhay Ashtekar and Badri Krishnan, “Dynamical horizons and their properties,” Phys. Rev. D68
2003
Cited alongside, same era.
2003
Cited alongside, same era.
Matt Visser, “Black holes in general relativity,” PoS BHSGRANDSTRINGS2008
2008
Later among the works it cites.
2008
Later among the works it cites.
2009
Later among the works it cites.
Robert Owen, “The Final Remnant of Binary Black Hole Mergers: Multipolar Analysis,” Phys. Rev. D80
2009
Later among the works it cites.
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Olaf Dreyer, Badri Krishnan, Deirdre Shoemaker, and Erik Schnetter, “Introduction to Isolated Horizons in Numerical Relativity,” Phys. Rev. D67
2003
Cited alongside, same era.
Marcel Berger, A panoramic view of Riemannian geometry (Springer, Berlin, 2003)
2003
Cited alongside, same era.
Abhay Ashtekar and Badri Krishnan, “Isolated and dynamical horizons and their applications,” Living Rev. Rel. 7
2004
Cited alongside, same era.
Jonathan Thornburg, “A Fast Apparent-Horizon Finder for 3-Dimensional Cartesian Grids in Numerical Relativity,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
Marcus Ansorg, Bernd Brügmann, and Wolfgang Tichy, “A single-domain spectral method for black hole puncture data,” Phys. Rev. D 70
2004
Cited alongside, same era.
Abhay Ashtekar, Jonathan Engle, Tomasz Pawłowski, and Chris Van Den Broeck, “Multipole moments of isolated horizons,” Class. Quant. Grav. 21
2004
Cited alongside, same era.
Ivan Booth and Stephen Fairhurst, “The first law for slowly evolving horizons,” Phys. Rev. Lett. 92
2004
Cited alongside, same era.
2009
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2011
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2011
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2012
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2012
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Ivan Booth, “Spacetime near isolated and dynamical trapping horizons,” Phys. Rev. D 87
2013
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2013
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José Luis Jaramillo, “A Young-Laplace law for black hole horizons,” Phys. Rev. D89
2014
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2014
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Sandro Wimberger, Nonlinear Dynamics and Quantum Chaos (Springer International Publishing, Switzerland, 2014)
2014
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2015
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2015
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2018
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Lalanne Philippe, Yan Wei, Vynck Kevin, Sauvan Christophe, and Hugonin Jean‐Paul, “Light interaction with photonic and plasmonic resonances,” Laser & Photonics Reviews 12
2018
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S. Borhanian, K.G. Arun, H.P. Pfeiffer, and B.S. Sathyaprakash, “Comparison of post-Newtonian mode amplitudes with numerical relativity simulations of binary black holes,” Class. Quant. Grav. 37
2020
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