Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914887811203072 |
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| author | Millano, Alfredo D. Michea, Claudio Leon, Genly Paliathanasis, Andronikos |
| author_facet | Millano, Alfredo D. Michea, Claudio Leon, Genly Paliathanasis, Andronikos |
| contents | We study the dynamics of the field equations in a five-dimensional spatially flat Friedmann-Lemaître-Robertson-Walker metric in the context of a Gauss-Bonnet-Scalar field theory where the quintessence scalar field is coupled to the Gauss-Bonnet scalar. Contrary to the four-dimensional Gauss-Bonnet theory, where the Gauss-Bonnet term does not contribute to the field equations, in this five-dimensional Einstein-Scalar-Gauss-Bonnet model, the Gauss-Bonnet term contributes to the field equations even when the coupling function is a constant. Additionally, we consider a more general coupling described by a power-law function. For the scalar field potential, we consider the exponential function. For each choice of the coupling function, we define a set of dimensionless variables and write the field equations into a system of ordinary differential equations. We perform a detailed analysis of the dynamics for both systems and classify the stability of the equilibrium points. We determine the presence of scaling and super-collapsing solutions using the cosmological deceleration parameter. This means that our models can explain the Universe's early and late-time acceleration phases. Consequently, this model can be used to study inflation or as a dark energy candidate. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_09732 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology Millano, Alfredo D. Michea, Claudio Leon, Genly Paliathanasis, Andronikos General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We study the dynamics of the field equations in a five-dimensional spatially flat Friedmann-Lemaître-Robertson-Walker metric in the context of a Gauss-Bonnet-Scalar field theory where the quintessence scalar field is coupled to the Gauss-Bonnet scalar. Contrary to the four-dimensional Gauss-Bonnet theory, where the Gauss-Bonnet term does not contribute to the field equations, in this five-dimensional Einstein-Scalar-Gauss-Bonnet model, the Gauss-Bonnet term contributes to the field equations even when the coupling function is a constant. Additionally, we consider a more general coupling described by a power-law function. For the scalar field potential, we consider the exponential function. For each choice of the coupling function, we define a set of dimensionless variables and write the field equations into a system of ordinary differential equations. We perform a detailed analysis of the dynamics for both systems and classify the stability of the equilibrium points. We determine the presence of scaling and super-collapsing solutions using the cosmological deceleration parameter. This means that our models can explain the Universe's early and late-time acceleration phases. Consequently, this model can be used to study inflation or as a dark energy candidate. |
| title | Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2405.09732 |