Dynamical System of Kaluza-Klein Brane Cosmology with Gauss-Bonnet Term in a Bulk

Brane-world cosmological model in higher-dimensional spacetime is studied with additional Gauss-Bonnet term in the bulk. By using Gauss-Codazzi equations, we derive the (4+n)-dimensional gravitational field equations. The (4+n)-dimensional gravitational field equations can be formulated to general E...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-04, Vol.1204 (1), p.12010
Main Authors: Rahman, Irsan, Bangsawang, B.J, Suroso, Agus, Surungan, Tasrief, Zen, Freddy P
Format: Article
Language:English
Subjects:
Astronomical models
Cosmology
Dynamic stability
Einstein equations
Gravitational fields
Stability analysis
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Summary:Brane-world cosmological model in higher-dimensional spacetime is studied with additional Gauss-Bonnet term in the bulk. By using Gauss-Codazzi equations, we derive the (4+n)-dimensional gravitational field equations. The (4+n)-dimensional gravitational field equations can be formulated to general Einstein field equation with Gauss-Bonnet term and extra component. In the following, we take FRW metric and choose a relation between the external and internal scale factors of the form b(t)=aγ(t) in which the brane world evolves with two scale factors. Finally, a dynamical analysis is performed to determine the stability of this model.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1204/1/012010