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In this paper, we initiate the rigorous mathematical study of the problem of impulsive gravitational spacetime waves.
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R. Penrose · 1972
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S. Alinhac · 1988
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Colliding almost-plane gravitational waves: Colliding exact plane waves and general properties of almost-plane-wave spacetimes
U. Yurtsever · 1988
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Propagation and interaction of singularities in nonlinear hyperbolic problems
M. Beals · 1989
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G Métivier · 1990
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Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
A. D. Rendall · 1990
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Colliding plane waves in general relativity
J. B. Griffiths · 1991
The stability of compressible vortex sheets in two space dimensions
J.-F. Coulombel and P. Secchi · 2004
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Causal geometry of Einstein-vacuum spacetimes with finite curvature flux
S. Klainerman and I. Rodnianski · 2005
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The formation of black holes in general relativity
D. Christodoulou · 2009
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Exact space-times in Einstein’s general relativity
J. B. Griffiths and J. Podolsky · 2009
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On the formation of trapped surfaces
S. Klainerman and I. Rodnianski · 2009
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Ultimately Schwarzschildean spacetimes and the black hole stability problem
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Ondes soniques
G. Métivier · 1991
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Bounded variation solutions of the spherically symmetric Einstein-scalar field equations
D. Christodoulou · 1993
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The global nonlinear stability of the Minkowski space
D. Christodoulou and S. Klainerman · 1993
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Examples of naked singularity formation in the gravitational collapse of a scalar field
D. Christodoulou · 1994
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The instability of naked singularities in the gravitational collapse of a scalar field
D. Christodoulou · 1999
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Selected solutions of einstein’s field equations: their role in general relativity and astrophysics
J. Bicak · 2000
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G. Holzegel · 2010
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Global geometry of T 2 T^{2} -symmetric spacetimes with weak regularity
P. G. LeFloch and J. Smulevici · 2010
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The characteristic initial value problem for plane symmetric spacetimes with weak regularity
P. G. LeFloch and J. M. Stewart · 2011
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On the local existence for the characteristic initial value problem in general relativity
J. Luk · 2011
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The Bounded L2 Curvature Conjecture
S. Klainerman, I. Rodnianski, and J. Szeftel · 2012
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Parametrix for wave equations on a rough background I: regularity of the phase at initial time
J. Szeftel · 2012
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Parametrix for wave equations on a rough background II: construction and control at initial time
J. Szeftel · 2012
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Parametrix for wave equations on a rough background III: space-time regularity of the phase
J. Szeftel · 2012
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Parametrix for wave equations on a rough background IV: control of the error term
J. Szeftel · 2012
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