Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models: The Sequel
arXiv:2005.10370 · doi:10.1088/1475-7516/2020/08/021
Abstract
Utilizing the autonomous system of ordinary differential equations derived in arXiv:1809.01458 to define the evolution, we further investigate a class of cosmological models within an Einstein-aether gravitational framework by introducing a non-trivial coupling between the shear of the aether field to the scalar field on the future asymptotic solution. We subsequently conduct qualitative and numerical stability analysis on the new set of equilibrium points and paramountly determine that the expansionary power-law inflationary attractor becomes anisotropic rather than isotropic in the presence of such a coupling. It is further shown that the stability of this solution is dependent on the value of the shear coupling parameter . We also discover a family of asymptotically stable periodic orbits which exist for a particular range of parameter values within the Bianchi I invariant set and vanish in the absence of coupling between the aether field and the scalar field.
arXiv comment24 pages, 8 figures, 3 tables, prepared for submission to JCAP
References in corpus (17)
- Nonstandard optics from quantum spacetime
- Gravity with a dynamical preferred frame
- Tests of Lorentz invariance: a 2013 update
- Einstein-Aether Waves
- Loop quantum gravity and light propagation
- Lorentz symmetry breaking as a quantum field theory regulator
- Extended Horava gravity and Einstein-aether theory
- Lorentz Violating Inflation
- Numerical simulations of gravitational collapse in Einstein-aether theory
- A positive energy theorem for Einstein-aether and Hořava gravity
- Some Inflationary Einstein-Aether Cosmologies
- Coupling the inflaton to an expanding aether
- Inflationary Instabilities of Einstein-Aether Cosmology
- Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models
- Spherically symmetric Einstein-aether perfect fluid models
- Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential
- Stability of Einstein-Aether Cosmological Models