http://arxiv.org/abs/1509.05694
The Cauchy-Kowalevski theorem is applied to the solutions of Einstein’s equations and to cosmology. Three fundamental requirements of the theorem: the use of analytic series; the existence of the boundary surfaces; and the setting of the independent initial data are revised, using methods of geometric analysis. It is shown that during its relativistic phase the standard model of the universe is completely governed by Einstein’s gravitation, described by a massles spin-2 field, complemented by massive spin-2 field, which is responsible for the dark sector of the universe. On the other hand, at the inflationary phase, the exponential growth of the volume of the universe is shown to be consistent with the Ricci flow. These two phases are separated by the last inflationary surface with a mirror symmetry, suggesting a bounce scenario.
M. Maia
Thu, 24 Sep 15
59/60
Comments: 12 pages, no figures, Latex
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