Extended phase-space analysis of the Hořava–Lifshitz cosmology
Abstract We examine the phase space of Hořava–Lifshitz cosmology for a wide range of self-interacting potentials for the scalar field under the detailed-balance condition and without imposing it, by means of the powerful method of f-devisers. A compactification approach is performed for the exponent...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7236-z |
| _version_ | 1818256073066283008 |
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| author | Genly Leon Andronikos Paliathanasis |
| author_facet | Genly Leon Andronikos Paliathanasis |
| author_sort | Genly Leon |
| collection | DOAJ |
| description | Abstract We examine the phase space of Hořava–Lifshitz cosmology for a wide range of self-interacting potentials for the scalar field under the detailed-balance condition and without imposing it, by means of the powerful method of f-devisers. A compactification approach is performed for the exponential potential and for potentials beyond the exponential one, extending the previous findings in the literature. By using this approach it is possible to describe the finite region of the phase space and the region where the phase-space variables becomes infinity. Furthermore, we present several results concerning the stability of the de Sitter solution in Hořava–Lifshitz cosmology using Center Manifold theory. The advantages of this procedure are unveiled immediately when it is compared with the Normal Forms Calculations presented before in the literature. |
| first_indexed | 2024-12-12T17:21:57Z |
| format | Article |
| id | doaj.art-f5a5ead878b44810ae55dd7c82249d05 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T17:21:57Z |
| publishDate | 2019-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-f5a5ead878b44810ae55dd7c82249d052022-12-22T00:17:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-09-0179916310.1140/epjc/s10052-019-7236-zExtended phase-space analysis of the Hořava–Lifshitz cosmologyGenly Leon0Andronikos Paliathanasis1Departamento de Matemáticas, Universidad Católica del NorteInstitute of Systems Science, Durban University of TechnologyAbstract We examine the phase space of Hořava–Lifshitz cosmology for a wide range of self-interacting potentials for the scalar field under the detailed-balance condition and without imposing it, by means of the powerful method of f-devisers. A compactification approach is performed for the exponential potential and for potentials beyond the exponential one, extending the previous findings in the literature. By using this approach it is possible to describe the finite region of the phase space and the region where the phase-space variables becomes infinity. Furthermore, we present several results concerning the stability of the de Sitter solution in Hořava–Lifshitz cosmology using Center Manifold theory. The advantages of this procedure are unveiled immediately when it is compared with the Normal Forms Calculations presented before in the literature.http://link.springer.com/article/10.1140/epjc/s10052-019-7236-z |
| spellingShingle | Genly Leon Andronikos Paliathanasis Extended phase-space analysis of the Hořava–Lifshitz cosmology European Physical Journal C: Particles and Fields |
| title | Extended phase-space analysis of the Hořava–Lifshitz cosmology |
| title_full | Extended phase-space analysis of the Hořava–Lifshitz cosmology |
| title_fullStr | Extended phase-space analysis of the Hořava–Lifshitz cosmology |
| title_full_unstemmed | Extended phase-space analysis of the Hořava–Lifshitz cosmology |
| title_short | Extended phase-space analysis of the Hořava–Lifshitz cosmology |
| title_sort | extended phase space analysis of the horava lifshitz cosmology |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7236-z |
| work_keys_str_mv | AT genlyleon extendedphasespaceanalysisofthehoravalifshitzcosmology AT andronikospaliathanasis extendedphasespaceanalysisofthehoravalifshitzcosmology |