Kantowski-Sachs Universes sourced by a Skyrme fluid

Abstract

The Kantowski-Sachs cosmological model sourced by a Skyrme field and a cosmological constant is considered in the framework of General Relativity. Assuming a constant radial profile function for the hedgehog ansatz, the Skyrme contribution to Einstein equations is shown to be equivalent to an anisotropic fluid. Using dynamical system techniques, a qualitative analysis of the cosmological equations is presented. Physically interesting features of the model such as isotropization, bounce and recollapse are discussed.

arXiv comment9 pages, 7 figures, 3 tables; v2 Sec. II extended, typos corrected. Matches the published version

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• Analytic topologically non-trivial solutions of the (3+1)-dimensional $U(1)$ gauged Skyrme model and extended duality
• Cosmological Einstein-Skyrme solutions with non-vanishing topological charge
• Dynamical system analysis of Einstein-Skyrme model in a Kantowski-Sachs spacetime
• An anisotropic Kantowski-Sachs universe with radiation, dust and a phantom fluid
• Unitary evolution for a quantum Kantowski-Sachs cosmology
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• Skyrme Fluid in Anisotropic Universe
• Cosmic Inflation From Fluctuating Baby-Skyrme Brane
• Thermodynamic Interpretation of the Kompanneets-Chernov-Kantowski-Sachs Solutions