An Emergent Universe supported by chiral cosmological fields in Einstein--Gauss--Bonnet gravity

Abstract

We propose the application of the chiral cosmological model (CCM) for the Einstein--Gauss--Bonnet (EGB) theory of gravitation with the aim of finding new models of the Emergent Universe (EmU) scenario. We analysed the EmU supported by two chiral cosmological fields for a spatially flat universe, while we have used three chiral fields when we investigated open and closed universes. To prove the validity of the EmU scenario we fixed the scale factor and found the exact solution by decomposition of EGB equations and solving the chiral field dynamics equation. To this end, we suggested the decomposition of the EGB equations in such a way that the first chiral field is responsible for the Einstein part of the model, while the second field, together with kinetic interaction term, is connected with the Gauss--Bonnet part of the theory. We proved that both fields are phantom ones under this decomposition, and that the model has a solution if the kinetic interaction between the fields equals a constant. We have presented the exact solution in terms of cosmic time. This was done for a spatially flat universe. In the case of open and closed universes we introduced the third chiral field (canonical for closed and phantom for open universe) which is responsible for the EGB and curvature parts. The solution of the third field equation is obtained in quadratures. Thus we have proved that the CCM is able to support EmU scenario in EGB gravity for spatially flat, open and closed universes.

arXiv comment12 pages

References in corpus (13)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• The Emergent Universe: inflationary cosmology with no singularity
• Emergent Universe with Exotic Matter
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Constraints on Exotic Matter for An Emergent Universe
• An emergent universe supported by a nonlinear sigma model
• Variations of $\alpha$ and $G$ from nonlinear multidimensional gravity
• Unified dark matter and dark energy description in a chiral cosmological model
• Quantum billiards in multidimensional models with fields of forms
• New exact cosmologies on the brane
• Exact Global Phantonical Solutions in the Emergent Universe

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• New Exact Solutions for a Chiral Cosmological Model in 5D EGB Gravity
• Multiscalar field cosmological model and possible solutions using Noether symmetry approach