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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.10878 |
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| _version_ | 1866911586839429120 |
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| author | Socorro, J. Gil-Ocaranza, A. Pérez, Juan Luis |
| author_facet | Socorro, J. Gil-Ocaranza, A. Pérez, Juan Luis |
| contents | An anisotropic Bianchi type I cosmological model with power-law scalar-field potentials of the form $V(ψ_1,ψ_2)=V_1ψ_1^{\pmλ_1}+V_2ψ_2^{\pmλ_2}$ is studied within a generalized Sáez--Ballester--K-essence-like theory involving standard kinetic terms and a mixed coupling contribution. In order to solve the corresponding field equations, for negative sign case, the mixed term introduces an essential constraint on the associated parameter, which yields relevant contributions to quintessence, quintom, and phantom scenarios in the context of primordial inflation. Exact solutions for these regimes are obtained through an appropriate change of variables. It is shown that the volume function of the universe derived from the present power-law scalar potential coincides with that obtained from exponential scalar potentials in standard chiral multifield cosmology, while the scalar fields remain dynamically present throughout the cosmic evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10878 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Power law scalar potential in the Saez-Ballester like theory: Exact solutions in the Bianchi type I case Socorro, J. Gil-Ocaranza, A. Pérez, Juan Luis General Relativity and Quantum Cosmology An anisotropic Bianchi type I cosmological model with power-law scalar-field potentials of the form $V(ψ_1,ψ_2)=V_1ψ_1^{\pmλ_1}+V_2ψ_2^{\pmλ_2}$ is studied within a generalized Sáez--Ballester--K-essence-like theory involving standard kinetic terms and a mixed coupling contribution. In order to solve the corresponding field equations, for negative sign case, the mixed term introduces an essential constraint on the associated parameter, which yields relevant contributions to quintessence, quintom, and phantom scenarios in the context of primordial inflation. Exact solutions for these regimes are obtained through an appropriate change of variables. It is shown that the volume function of the universe derived from the present power-law scalar potential coincides with that obtained from exponential scalar potentials in standard chiral multifield cosmology, while the scalar fields remain dynamically present throughout the cosmic evolution. |
| title | Power law scalar potential in the Saez-Ballester like theory: Exact solutions in the Bianchi type I case |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.10878 |