2019/04/30 by N. Dimakis, Andronikos Paliathanasis, A. Paliathanasis +2
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Dark energy #Field (mathematics) #Geometry #Kinetic energy #Kinetic term #Mathematical physics #Mathematics #Metric expansion of space #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scale factor (cosmology) #Term (time) #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-019-7130-8
15 pages, 3 figures, Latex2e source file, revised to agree with the accepted EPJC version
openalex publication_date 2019/07/01 · arxiv created 2019/07/12 · arxiv updated 2019/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a cosmological model with two scalar fields minimally coupled to gravity which have a mixed kinetic term. Hence, Chiral cosmology is included in our analysis. The coupling function and the potential function, which depend on one of the fields, characterize the model we study. We prove the existence of exact solutions that are of special interest for the cosmological evolution. Furthermore, we provide with a methodology that relates the scale factor behaviour to the free functions characterizing the scalar field kinetic term coupling and potential. We derive the necessary conditions that connect these two functions so that the relative cosmological solutions can be admitted. We find that unified dark matter and dark energy solutions are allowed by the theory in various scenarios involving the aforementioned functions.