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We prove that the area of cross-sections of light-cones, in space-times satisfying suitable energy conditions, is smaller than or equal to that of the corresponding cross-sections in Minkowski, or de Sitter, or anti-de Sitter space-time.
Problème des conditions initiales sur un conoïde caractéristique
Y. Choquet-Bruhat · 1963
Earlier work this paper cites.
The singularities of gravitational collapse and cosmology
S.W. Hawking and R. Penrose · 1970
Earlier work this paper cites.
The Wave Equation on Curved Space-Time
F.G. Friedlander · 1975
Earlier work this paper cites.
Null hypersurface initial data for classical fields of arbitrary spin and for general relativity
R. Penrose · 1980
Earlier work this paper cites.
On the regular and the asymptotic characteristic initial value problem for Einstein’s vacuum field equations
H. Friedrich · 1981
Earlier work this paper cites.
Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
A.D. Rendall · 1990
Cited alongside, same era.
Reliability of perturbation theory in general relativity
T. Damour and B. Schmidt · 1990
Cited alongside, same era.
The characteristic initial value problem for the Einstein equations
A.D. Rendall · 1992
Cited alongside, same era.
Maximum principles for null hypersurfaces and null splitting theorems
G.J. Galloway · 2000
Cited alongside, same era.
Regularity of horizons and the area theorem
P.T. Chruściel, E. Delay, G. Galloway, and R. Howard · 2001
Cited alongside, same era.
xAct: Efficient Tensor Computer Algebra
J.M. Martín-García
Cited in the paper.
Problèmes de Cauchy sur un conoïde caractéristique pour les équations d’Einstein (conformes) du vide et pour les équations de Yang-Mills-Higgs
M. Dossa · 2003
Later among the works it cites.
A poor man’s positive energy theorem: II. Null geodesics
P.T. Chruściel · 2004
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Problème de Cauchy sur un conoïde caractérstique. Solution en série formelle et détermination des dérivées successives sur le conoïde
F. Cagnac and M. Dossa · 2004
Later among the works it cites.
Uniqueness of de Sitter space
G. Galloway and D. Solis · 2007
Later among the works it cites.
General Relativity and the Einstein Equations
Y. Choquet-Bruhat · 2009
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