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

Rahman I.a, Bangsawang B.J.b, Suroso A.a,c, Surungan T.b, Zen F.P.a,c

a Theoretical Physics Laboratory, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia
b Department of Physics, Universitas Hasanuddin, Makassar, 90245, Indonesia
c Indonesian Center of Theoretical and Mathematical Physics (ICTMP), Indonesia

[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2019 Published under licence by IOP Publishing Ltd.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)=a γ(t) in which the brane world evolves with two scale factors. Finally, a dynamical analysis is performed to determine the stability of this model.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Cosmological modeling,Dynamical analysis,Einstein field equations,Gravitational field equations,Higher-dimensional,Scale Factor,Spacetime[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text]I.R. Gratefully acknowledge support for LPDP scholarship and also thanks to all members of theoretical physics laboratory, Institut Teknologi Bandung for the hospitaly and valuable support. F.P.Z. would like to atnkhs ekmenristek DIKTI for financial support.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1088/1742-6596/1204/1/012010[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]