Stability of Einstein-Aether Cosmological Models

Abstract

We use a dynamical systems analysis to investigate the future behaviour of Einstein-Aether cosmological models with a scalar field coupling to the expansion of the aether and a non-interacting perfect fluid. The stability of the equilibrium solutions are analysed and the results are compared with the standard inflationary cosmological solutions and previously studied cosmological Einstein-Aether models.

13 pages, 1 figure

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Cited by in corpus (22)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Inflationary Instabilities of Einstein-Aether Cosmology
• Kantowski-Sachs Einstein-æther perfect fluid models
• Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models
• Spherically symmetric Einstein-aether perfect fluid models
• Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
• Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential
• Spatially Homogeneous Einstein-Aether Cosmological Models: Scalar Fields with a Generalized Harmonic Potential
• Thermodynamics of massless particles in curved spacetime
• Dynamics of Einstein-Aether Scalar field Cosmology
• Reduced Lagrangians and analytic solutions in Einstein-æther Cosmology
• Baryogenesis in Lorentz-violating gravity theories
• Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
• Extended analysis for the Evolution of the Cosmological history in Einstein-aether Scalar Field theory
• Cosmological Evolution of Einstein-Aether Models with Power-law-like Potential
• Analytic solutions in Einstein-aether scalar field cosmology
• Einstein-aether theory in Weyl integrable geometry
• Kantowski-Sachs Einstein-Aether Scalar Field Cosmological Models: The Sequel
• Inhomogeneous spacetimes in Einstein-æther Cosmology
• Einstein-aether models III: conformally static metrics, perfect fluid and scalar fields
• Dynamical analysis and cosmological viability of varying $G$ and $\Lambda$ cosmology
• Late time cosmological solutions in $f(R,T)$ gravity in a viscous Universe