Cosmological Dynamics of a Non-Canonical Generalised Brans-Dicke Theory
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arXiv
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| Natura: | Preprint |
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2026
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| _version_ | 1866909021766680576 |
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| author | Debono, Matthew Said, Jackson Levi Farrugia, Gabriel |
| author_facet | Debono, Matthew Said, Jackson Levi Farrugia, Gabriel |
| contents | The LCDM model has been presented with a number of cosmic tensions in the face of precision cosmological data, suggesting the presence of a dynamical dark energy component. In this context, we investigate the cosmology arising from a generalisation of Brans-Dicke theory, with a non-minimally coupled scalar field characterising deviations from standard general relativity, and having a non-canonical kinetic term. By reformulating the field equations into an autonomous set of dynamical equations, we use the methods of dynamical systems to investigate the equilibrium states of the system and their stability for a set of widely-used potentials, namely the constant, power-law, and exponential potentials, with the flow visualized using bounded phase portraits. Furthermore, we investigate the physical meaning of the critical points, and we find viable solutions that can reproduce the characteristics of the $Λ$CDM model at background level for each of the three potentials. Furthermore, in each case, we observe that the dynamical behaviour differs noticeably from that observed in other scalar-tensor models due to the non-minimal coupling and non-canonical field, despite using similarly defined dynamical variables. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_06147 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cosmological Dynamics of a Non-Canonical Generalised Brans-Dicke Theory Debono, Matthew Said, Jackson Levi Farrugia, Gabriel General Relativity and Quantum Cosmology The LCDM model has been presented with a number of cosmic tensions in the face of precision cosmological data, suggesting the presence of a dynamical dark energy component. In this context, we investigate the cosmology arising from a generalisation of Brans-Dicke theory, with a non-minimally coupled scalar field characterising deviations from standard general relativity, and having a non-canonical kinetic term. By reformulating the field equations into an autonomous set of dynamical equations, we use the methods of dynamical systems to investigate the equilibrium states of the system and their stability for a set of widely-used potentials, namely the constant, power-law, and exponential potentials, with the flow visualized using bounded phase portraits. Furthermore, we investigate the physical meaning of the critical points, and we find viable solutions that can reproduce the characteristics of the $Λ$CDM model at background level for each of the three potentials. Furthermore, in each case, we observe that the dynamical behaviour differs noticeably from that observed in other scalar-tensor models due to the non-minimal coupling and non-canonical field, despite using similarly defined dynamical variables. |
| title | Cosmological Dynamics of a Non-Canonical Generalised Brans-Dicke Theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2605.06147 |