Ambient cosmology and spacetime singularities
arXiv:1409.2220 · doi:10.1140/epjc/s10052-015-3269-0
Abstract
We present a new approach to the issues of spacetime singularities and cosmic censorship in general relativity. This is based on the idea that standard 4-dimensional spacetime is the conformal infinity of an ambient metric for the 5-dimensional Einstein equations with fluid sources. We then find that the existence of spacetime singularities in four dimensions is constrained by asymptotic properties of the ambient 5-metric, while the non-degeneracy of the latter crucially depends on cosmic censorship holding on the boundary.
v3: 32 pages, longer version to appear in the EPJC, main idea made explicit, various mathematical and physical explanations added
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