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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id-itb.:226252017-11-16T10:40:35ZDynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk (NIM: 20215030), IRSAN Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/22625 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. text |
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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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Theses |
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(NIM: 20215030), IRSAN |
| spellingShingle |
(NIM: 20215030), IRSAN Dynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk |
| author_facet |
(NIM: 20215030), IRSAN |
| author_sort |
(NIM: 20215030), IRSAN |
| title |
Dynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk |
| title_short |
Dynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk |
| title_full |
Dynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk |
| title_fullStr |
Dynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk |
| title_full_unstemmed |
Dynamical System of Kaluza-Klein Brane cosmology with Gauss-Bonnet Term in a Bulk |
| title_sort |
dynamical system of kaluza-klein brane cosmology with gauss-bonnet term in a bulk |
| url |
https://digilib.itb.ac.id/gdl/view/22625 |
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