1203.3382 (Ovidiu-Cristinel Stoica)

On the Weyl Curvature Hypothesis    [PDF]

Ovidiu-Cristinel Stoica

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. In previous papers it has been proposed an equivalent form of Einstein's equation, which extends it and remains valid at an important class of singularities (including in particular the Schwarzschild, FLRW, and isotropic singularities). Here it is shown that if the Big Bang singularity is from this class, it also satisfies the Weyl curvature hypothesis.

View original: http://arxiv.org/abs/1203.3382