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We provide an explicit formula for the Fefferman-Graham-ambient metric of an $n$-dimensional conformal $pp$-wave in those cases where it exists.
Einstein spaces which are mapped conformally on each other
H. W. Brinkmann · 1925
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I. Robinson · 1959
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J. Ehlers and W. Kundt · 1962
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R. Schimming · 1974
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Any space-time has a plane wave as a limit
R. Penrose · 1976
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The isometry group and Killing spinors for the pp wave space-time in D = 11 D=11 supergravity
P. T. Chruściel and J. Kowalski-Glikman · 1984
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J. Kowalski-Glikman · 1984
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C. R. Graham, R. Jenne, L. J. Mason, and G. A. J. Sparling · 1992
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T. P. Branson · 1993
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The Fefferman-Graham ambiguity and AdS black holes
K. Bautier, F. Englert, M. Rooman, and P. Spindel · 2000
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Volume and area renormalizations for conformally compact Einstein metrics
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Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
S. de Haro, K. Skenderis, and S. N. Solodukhin · 2001
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M. Blau, J. Figueroa-O’Farrill, C. Hull, and G. Papadopoulos · 2002
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M. Cvetič, H. Lü, and C. N. Pope · 2002
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J. P. Gauntlett and C. M. Hull · 2002
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P. Nurowski · 2005
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A sub-product construction of Poincare-Einstein metrics, 2006
A. R. Gover and F. Leitner · 2006
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Obstructions to conformally Einstein metrics in n n dimensions
A. R. Gover and P. Nurowski · 2006
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Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds
T. Leistner · 2006
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Screen bundles of Lorentzian manifolds and some generalisations of pp-waves
T. Leistner · 2006
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The conformal analog of Calabi-Yau manifolds
H. Baum · 2007
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Lorentzian manifolds with special holonomy and parallel spinors
T. Leistner · 2002
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Generalizations of pp-wave spacetimes in higher dimensions
A. Coley, R. Milson, N. Pelavas, V. Pravda, A. Pravdová, and R. Zalaletdinov · 2003
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Ambient metric construction of Q Q -curvature in conformal and CR geometries
C. Fefferman and K. Hirachi · 2003
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On a conjecture of Fefferman and Graham
S. Kichenassamy · 2004
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Conformal Killing forms with normalisation condition
F. Leitner · 2005
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Personal communication
C. R. Graham
Cited in the paper.
C. Fefferman and C. R. Graham · 2007
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Holographic formula for Q Q -curvature
C. R. Graham and A. Juhl · 2007
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Conformal structures with explicit ambient metrics and conformal G 2 G_{2} holonomy
P. Nurowski · 2008
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Families of conformally covariant differential operators, Q-curvature and holography
A. Juhl · 2009
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