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The Weyl curvature hypothesis of Penrose attempts to explain the high homogeneity and isotropy, and the very low entropy of the early universe, by conjecturing the vanishing of the Weyl tensor at the Big-Bang singularity.
The curvature of 4-dimensional Einstein spaces
J. A. Singer, I. M.; Thorpe · 1969
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One loop divergencies in the theory of gravitation
G. ’t Hooft and M. Veltman · 1974
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Singularities and time-asymmetry
R. Penrose · 1979
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Semi-Riemannian Geometry with Applications to Relativity
B. O’Neill · 1983
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The ultraviolet behavior of Einstein gravity
M. H. Goroff and A. Sagnotti · 1986
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Quasi-local Mass and Cosmological Singularities
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Degenerate manifolds
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Einstein Manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 10
Arthur L. Besse · 1987
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Isotropic Singularities and the γ = 2 \gamma=2 Equation of State
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Isotropic Singularities and the Polytropic Equation of State
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An Introduction to General Relativity and Cosmology
J. Plebanski and A. Krasinski · 2006
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O. C. Stoica · 2011
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O. C. Stoica · 2012
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K. P. Tod · 2002
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Exact Solutions of Einstein’s Field Equations
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