Analytic solutions in Einstein-aether scalar field cosmology

Abstract

In the context of Einstein-aether scalar field cosmology we solve the field equations and determine exact and analytic solutions. In particular, we consider a model proposed by Kanno and Soda where the aether and the scalar fields interact through the aether coefficient parameters, which are promoted to be functions of the scalar field. For this model, we write the field equations by using the minisuperspace approach and we determine the scalar field potentials which leads to Liouville--integrable systems. We solve the field equations for five families of scalar field potentials and, whether it is feasible, we write down the analytic solutions by using closed-form functions.

16 pages, 2 figures, to appear in EPJC

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• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Thermodynamics of massless particles in curved spacetime
• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
• Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
• Einstein-aether theory in Weyl integrable geometry
• Exact black hole solutions in Einstein-Aether Scalar field theory
• Quantization of Einstein-aether Scalar field Cosmology
• Einstein-aether models III: conformally static metrics, perfect fluid and scalar fields