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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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/22625 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| 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. |
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