On stability of the Kasner solution in quadratic gravity

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 $w$ is bigger, smaller or equals to $1/3$. 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.

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Cited by in corpus (10)

• Teleparallel Gravity: From Theory to Cosmology
• Anisotropic cosmological solutions in $R+R^2$ gravity
• Stability of the Kasner Universe in f(T) Gravity
• On Kasner solution in Bianchi I $f(T)$ cosmology
• Beyond the linear analysis of stability in higher derivative gravity with the Bianchi-I metric
• Nonlinear anisotropy growth in Bianchi-I spacetime in metric $f(R)$ cosmology
• Splitting into two isotropic subspaces as a result of cosmological evolution in Einstein-Gauss-Bonnet gravity
• Quantum fields in Bianchi type I spacetimes. The Kasner metrc
• Anisotropic solutions for $R^2$ gravity model with a scalar field
• Tilt in quadratic gravity