Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
Genly Leon, Andronikos Paliathanasis, N. Dimakis
TL;DR
This paper derives exact solutions for Einstein-Aether scalar field theory within Kantowski-Sachs cosmology, using symmetry and conservation laws to analyze the model's physical behavior.
Contribution
It provides new analytic solutions and a detailed asymptotic analysis for Einstein-Aether scalar field cosmology with Kantowski-Sachs background.
Findings
Exact solutions obtained for the model.
Conservation laws reduce the field equations.
Asymptotic behavior analyzed for physical insights.
Abstract
Exact and analytic solutions in Einstein-Aether scalar field theory with Kantowski-Sachs background space are determined. The theory of point symmetries is applied to determine the functional form of the unknown functions which defines the gravitational model. Conservation laws are applied to reduce the order of the field equations and write the analytic solution. Moreover, in order to understand the physical behaviour of the cosmological model a detailed analysis of the asymptotic behaviour for the gravitational field equations is performed.
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