On stability of the Kasner solution in quadratic gravity
General Relativity and Quantum Cosmology
2017-01-04 v2 Cosmology and Nongalactic Astrophysics
Abstract
We consider dynamics of a flat anisotropic Universe filled by a perfect fluid near a cosmological singularity in quadratic gravity. Two possible regimes are described -- the Kasner anisotropic solution and an isotropic "vacuum radiation" solution which has three sub cases depending on whether the equation of state parameter is bigger, smaller or equals to . Initial conditions for numerical integrations have been chosen near General Relativity anisotropic solution with matter (Jacobs solution). We have found that for such initial conditions there is a range of values of coupling constants so that the resulting cosmological singularity is isotropic.
Keywords
Cite
@article{arxiv.1603.02851,
title = {On stability of the Kasner solution in quadratic gravity},
author = {A. Toporensky and D. Müller},
journal= {arXiv preprint arXiv:1603.02851},
year = {2017}
}