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We present a method of calculating the strong-field gravitational lensing caused by many analytic and numerical spacetimes.
Über die Wirkung rotierender ferner Massen in der Einsteinschen Gravitationstheorie
H. Thirring · 1918
Earlier work this paper cites.
Berichtigung zu meiner Arbeit: “Über die Wirkung rotierender Massen in der Einsteinschen Gravitationstheorie”
H. Thirring · 1921
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Lens-like action of a star by the deviation of light in the gravitational field
Albert Einstein · 1936
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A class of exact solutions of Einstein’s field equations
Sudhansu Datta Majumdar · 1947
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A static solution of the equations of the gravitational field for an arbitrary charge-distribution
Achilles Papapetrou · 1947
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The dynamics of general relativity
R. Arnowitt, S. Deser, and Charles W. Misner · 1962
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The gravitational lens effect
Sjur Refsdal · 1964
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The Optical Appearance of a Star Orbiting an Extreme Kerr Black Hole
C. T. Cunningham and J. M. Bardeen · 1972
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Gravitation
Charles W. Misner, Kip S. Thorne, and John Archibald Wheeler · 1973
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Image of a spherical black hole with thin accretion disk
J.-P. Luminet · 1979
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Cosmological applications of gravitational lensing
R. D. Blandford and R. Narayan · 1992
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Cosmological multi-black-hole solutions
David Kastor and Jennie Traschen · 1993
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Finding black holes in numerical spacetimes
S. A. Hughes, C. R. Keeton, P. Walker, K. T. Walsh, S. L. Shapiro, and S. A. Teukolsky · 1994
Cited alongside, same era.
Gravitational Lensing and Microlensing
Silvia Mollerach and Esteban Roulet · 2002
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A gravitationally lensed quasar with quadruple images separated by 14.62 arcseconds
Naohisa Inada, Masamune Oguri, Bartosz Pindor, Joseph F Hennawi, Kuenley Chiu, Wei Zheng, Shin-Ichi Ichikawa, Michael D Gregg, Robert H Becker, Yasushi Suto, et al · 2003
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Black-hole binaries, gravitational waves, and numerical relativity
Joan Centrella, John G. Baker, Bernard J. Kelly, and James R. van Meter · 2010
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GYOTO: a new general relativistic ray-tracing code
F.H. Vincent, T. Paumard, E. Gourgoulhon, and G. Perrin · 2011
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Shadows of colliding black holes
Daisuke Nitta, Takeshi Chiba, and Naoshi Sugiyama · 2011
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Shadows of multi-black holes: Analytic exploration
Akifumi Yumoto, Daisuke Nitta, Takeshi Chiba, and Naoshi Sugiyama · 2012
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Numerical simulations of compact object binaries
Harald P. Pfeiffer · 2012
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3+1 geodesic equation and images in numerical spacetimes
F.H. Vincent, E. Gourgoulhon, and J. Novak · 2012
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SDSS J1029+2623: A gravitationally lensed quasar with an image separation of 22 . ′′ .\!\!^{\prime\prime}
Naohisa Inada, Masamune Oguri, Tomoki Morokuma, Mamoru Doi, Naoki Yasuda, Robert H. Becker, Gordon T. Richards, Christopher S. Kochanek, Issha Kayo, Kohki Konishi, Hiroyuki Utsunomiya, Min-Su Shin, Michael A. Strauss, Erin S. Sheldon, Donald G. York, Joseph F. Hennawi, Donald P. Schneider, Xinyu Dai, and Masataka Fukugita · 2006
Cited alongside, same era.
The two micron all sky survey (2MASS)
M. F. Skrutskie, R. M. Cutri, R. Stiening, M. D. Weinberg, S. Schneider, J. M. Carpenter, C. Beichman, R. Capps, T. Chester, J. Elias, J. Huchra, J. Liebert, C. Lonsdale, D. G. Monet, S. Price, P. Seitzer, T. Jarrett, J. D. Kirkpatrick, J. E. Gizis, E. Howard, T. Evans, J. Fowler, L. Fullmer, R. Hurt, R. Light, E. L. Kopan, K. A. Marsh, H. L. McCallon, R. Tam, S. Van Dyk, and S. Wheelock · 2006
Cited alongside, same era.
Simulations of binary black hole mergers using spectral methods
Béla Szilágyi, Lee Lindblom, and Mark A. Scheel · 2009
Cited alongside, same era.
http://www.black-holes.org/lensing
Cited in the paper.
http://www.black-holes.org/SpEC.html
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http://www.black-holes.org/
Simulating eXtreme Spacetimes
Cited in the paper.
Dynamical excision boundaries in spectral evolutions of binary black hole spacetimes
Daniel A. Hemberger, Mark A. Scheel, Lawrence E. Kidder, Béla Szilágyi, Geoffrey Lovelace, Nicholas W. Taylor, and Saul A. Teukolsky · 2013
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Comparing gravitational waveform extrapolation to Cauchy-characteristic extraction in binary black hole simulations
Nicholas W. Taylor, Michael Boyle, Christian Reisswig, Mark A. Scheel, Tony Chu, Lawrence E. Kidder, and Béla Szilágyi · 2013
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GeoViS—Relativistic ray tracing in four-dimensional spacetimes
Thomas Müller · 2014
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