Dynamical system analysis of Einstein-Skyrme model in a Kantowski-Sachs spacetime
arXiv:1812.01975 · doi:10.1016/j.aop.2019.04.006
Abstract
We consider a Skyrme fluid with a constant radial profile in locally rotational Kantowski-Sachs spacetime. We choose a suitable change of variable so that the Field equations modified to an autonomous system. Then we finds the critical points and inspect the stability of them. Finally, the flow on the Poincar{é} sphere is shown and consequently the behavior at infinity is determined. To analyze the non-hyperbolic critical points Center Manifold Theory has been used. Possible bifurcation scenarios also have been explained.
6 pages, 5 figures
References in corpus (8)
- Interacting Dark Energy in f(T) cosmology : A Dynamical System analysis
- Kantowski-Sachs Universes sourced by a Skyrme fluid
- Cosmological dynamics of brane gravity: A global dynamical system perspective
- Bifurcation Analysis in A Diffusive Mussel-Algae Model with Delay
- Anisotropic Inflation with Derivative Couplings
- Cosmological dynamics of magnetic Bianchi I in viable models of gravity
- Exact solution of the Einstein-Skyrme model in a Kantowski-Sachs spacetime
- Inverse Jacobian multipliers and Hopf bifurcation on center manifolds
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