3 years ago

Anisotropic cosmological solutions in $R + R^2$ gravity.

Angelo Ricciardone, Daniel Müller, Alexei A. Starobinsky, Aleksey Toporensky

In this paper we investigate the past evolution of an anisotropic Bianchi I universe in $R+R^2$ gravity. Using the dynamical system approach we show that there exists a new two-parameters set of solutions that includes both an isotropic "false radiation" solution and an anisotropic generalized Kasner solution, which is stable. We derive the analytic behaviour of the shear from a specific property of $f(R)$ gravity and the analytic asymptotic form of the Ricci scalar when approaching the initial singularity. Finally we numerically checked our results.

Publisher URL: http://arxiv.org/abs/1710.08753

DOI: arXiv:1710.08753v1

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