Asymptotic vacua with higher derivatives
General Relativity and Quantum Cosmology
2016-04-06 v2 High Energy Physics - Theory
Abstract
We study limits of vacuum, isotropic universes in the full, effective, four-dimensional theory with higher derivatives. We show that all flat vacua as well as general curved ones are globally attracted by the standard, square root scaling solution at early times. Open vacua asymptote to horizon-free, Milne states in both directions while closed universes exhibit more complex logarithmic singularities, starting from initial data sets of a possibly smaller dimension. We also discuss the relation of our results to the asymptotic stability of the passage through the singularity in ekpyrotic and cyclic cosmologies.
Cite
@article{arxiv.1303.2234,
title = {Asymptotic vacua with higher derivatives},
author = {Spiros Cotsakis and Seifedine Kadry and Georgios Kolionis and Antonios Tsokaros},
journal= {arXiv preprint arXiv:1303.2234},
year = {2016}
}
Comments
v2: 17 pages, new author added, various improvements, new results on asymptotic stability of ekpyrosis, to appear in Phys. Lett. B