Canonical Structure and Hidden Symmetries in Scalar Field Cosmology
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909975077453824 |
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| author | Paliathanasis, Andronikos |
| author_facet | Paliathanasis, Andronikos |
| contents | We investigate hidden symmetries in minimally coupled scalar field cosmology within the FLRW universe, and a perfect fluid with and without interaction to the scalar field. We show that for an exponential potential there exists a set of canonical transformations through which the cosmological field equations can be recast in the form of a free particle in flat space. Based on this equivalence, we construct a mapping that generates cosmological solutions with interaction terms, corresponding to a chameleon mechanism. Finally, we discuss how this class of canonical transformations can relate the solution spaces of different cosmological models, such as of the scalar field and of the $Λ$-Cosmology. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_15207 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Canonical Structure and Hidden Symmetries in Scalar Field Cosmology Paliathanasis, Andronikos General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We investigate hidden symmetries in minimally coupled scalar field cosmology within the FLRW universe, and a perfect fluid with and without interaction to the scalar field. We show that for an exponential potential there exists a set of canonical transformations through which the cosmological field equations can be recast in the form of a free particle in flat space. Based on this equivalence, we construct a mapping that generates cosmological solutions with interaction terms, corresponding to a chameleon mechanism. Finally, we discuss how this class of canonical transformations can relate the solution spaces of different cosmological models, such as of the scalar field and of the $Λ$-Cosmology. |
| title | Canonical Structure and Hidden Symmetries in Scalar Field Cosmology |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2505.15207 |