On stability of the Kasner solution in quadratic gravity

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• 作者：A. Toporensky ; D. Müller
• 关键词：Quadratic gravity ; Homogenenous solutions ; Numerical aolutions
• 刊名：General Relativity and Gravitation
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：49
• 期：1
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory; Differential Geometry; Astronomy, Astrophysics and Cosmology; Quantum Physics;
• 出版者：Springer US
• ISSN：1572-9532
• 卷排序：49

文摘

We consider the 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 a General Relativity anisotropic solution with matter (Jacobs solution). We have found that for such initial conditions there is a range of values of the coupling constants so that the resulting cosmological singularity is isotropic.